| v | k | b | a | groups | characteristic polynomial | generating sets | matrix | download | WL-closure |
|---|---|---|---|---|---|---|---|---|---|
| 48 | 11 | 3 | 2 | C8xS3; C24:C2{1}; C24:C2{2}; D48; C2x(C3:C8); (C3xQ8):C2; C3:Q16{2}; C3x(C8:C2); C3xQ16; GL(2,3); C2xSL(2,3); (C12xC2):C2{2}; Q8xS3; (C4xS3):C2; C6xQ8 | (x – 11) (x + 5) (x – 1)2 (x + 1)2 (x – 3)20 (x + 3)22 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 11 | 3 | 2 | GL(2,3) | (x – 11) (x – 1) (x + 1)3 (x – 3)12 (x + 3)15 (x2 – 5)3 (x2 – 13)5 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 11 | 3 | 2 | GL(2,3) | (x – 11) (x – 1) (x + 1)3 (x – 3)12 (x + 3)15 (x2 – 5)3 (x2 – 13)5 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 11 | 3 | 2 | GL(2,3) | (x – 11) (x + 1)2 (x – 3)3 (x + 3)6 (x2 – 5)3 (x2 – 13)7 (x2 – 7)8 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 12 | 4 | 2 | (C3xQ8):C2; GL(2,3) | (x – 12) (x + 6) (x – 4)7 (x + 4)8 (x – 2)13 (x + 2)14 (x2 – 12)2 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 13 | 4 | 2 | GL(2,3) | (x – 13) (x + 5)6 (x – 1)8 (x + 3)15 (x – 3)18 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 14 | 6 | 2 | GL(2,3) | (x – 14) (x + 10) (x – 2)10 (x + 2)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 14 | 6 | 2 | GL(2,3) | (x – 14) (x + 10) (x – 2)10 (x + 2)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 14 | 6 | 2 | GL(2,3) | (x – 14) (x + 10) (x – 2)10 (x + 2)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 16 | 6 | 4 | GL(2,3) | (x – 16) (x – 4)2 x3 (x + 4)6 (x2 – 20)4 (x2 – 8)6 (x4 – 16x2 + 16)4 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 16 | 6 | 4 | GL(2,3) | (x – 16) (x – 4)2 x3 (x + 4)6 (x2 – 20)4 (x2 – 8)6 (x4 – 16x2 + 16)4 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 8 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 8 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 8 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 8 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 8 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 8 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 8 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 8 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 8 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 8 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 8 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 8 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 10 | 6 | C24:C2{2}; (C3:C8):C2{2}; (C3xQ8):C2; C3xQD16; GL(2,3) | (x – 18) (x + 6) (x – 6)4 (x + 2)18 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 10 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 8)4 (x4 – 28x2 + 64)4 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 10 | 6 | GL(2,3) | (x – 18) (x + 6) (x – 4)6 (x + 2)6 (x + 4)6 x12 (x2 – 24)4 (x2 – 12)4 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 10 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 8)4 (x4 – 28x2 + 64)4 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 10 | 6 | GL(2,3) | (x – 18) (x + 6) x4 (x – 4)6 (x + 2)6 (x + 4)6 (x2 – 8)4 (x4 – 28x2 + 64)4 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 18 | 14 | 6 | C24:C2{2}; (C3:C8):C2{2}; (C3xQ8):C2; C3xQD16; GL(2,3) | (x – 18) (x – 6)5 (x + 6)6 (x – 2)15 (x + 2)21 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 21 | 10 | 8 | GL(2,3) | (x – 21) (x + 3) (x – 3)4 (x + 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 21 | 10 | 8 | GL(2,3) | (x – 21) (x + 3) (x – 3)4 (x + 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 21 | 10 | 8 | GL(2,3) | (x – 21) (x + 3) (x – 3)4 (x + 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 21 | 10 | 8 | GL(2,3) | (x – 21) (x + 3) (x – 3)4 (x + 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 21 | 10 | 8 | GL(2,3) | (x – 21) (x + 3) (x – 3)4 (x + 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 21 | 10 | 8 | GL(2,3) | (x – 21) (x + 3) (x – 3)4 (x + 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 21 | 10 | 8 | GL(2,3) | (x – 21) (x + 3) (x – 3)4 (x + 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 21 | 10 | 8 | GL(2,3) | (x – 21) (x + 3) (x – 3)4 (x + 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 21 | 10 | 8 | GL(2,3) | (x – 21) (x + 3) (x – 3)4 (x + 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 21 | 10 | 8 | GL(2,3) | (x – 21) (x + 3) (x – 3)4 (x + 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 21 | 10 | 8 | GL(2,3) | (x – 21) (x + 3) (x – 3)4 (x + 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 21 | 10 | 8 | GL(2,3) | (x – 21) (x + 3) (x – 3)4 (x + 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 6 | C24:C2{1}; C24:C2{2}; (C3:C8):C2{1}; C4x(C3:C4); (C3:C4):C4; C12:C4; (C12xC2):C2{1}; (C3:C8):C2{2}; (C3xQ8):C2; (C2x(C3:C4)):C2{1}; C12xC4; C3x((C4xC2):C2){1}; C3x(C4:C4); C3x(C8:C2); C3xQD16; GL(2,3); A4:C4; C4xA4; C2xC4xS3; C2xD24; D8xS3; C2xC2x(C3:C4); C2x((C6xC2):C2); C12xC2xC2; C6xD8; C2xS4; C2xC2xA4; C2xC2xC2xS3; C6xC2xC2xC2 | (x – 22) (x + 2)5 (x – 2)10 (x – 4)12 (x + 4)20 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 6 | GL(2,3) | (x – 22) (x + 2)11 (x2 – 20)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 6 | GL(2,3) | (x – 22) (x + 2)11 (x2 – 20)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 6 | GL(2,3) | (x – 22) (x + 2)11 (x2 – 20)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 6 | GL(2,3) | (x – 22) (x + 2)11 (x2 – 20)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 6 | GL(2,3) | (x – 22) (x + 2)11 (x2 – 20)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 6 | GL(2,3) | (x – 22) (x + 2)11 (x2 – 20)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 6 | GL(2,3) | (x – 22) (x + 2)11 (x2 – 20)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 6 | GL(2,3) | (x – 22) (x + 2)11 (x2 – 20)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 6 | GL(2,3) | (x – 22) (x + 2)11 (x2 – 20)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 6 | GL(2,3) | (x – 22) (x + 2)11 (x2 – 20)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 6 | GL(2,3) | (x – 22) (x + 2)11 (x2 – 20)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 6 | GL(2,3) | (x – 22) (x + 2)11 (x2 – 20)6 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 8 | C24:C2{2}; (C3:C8):C2{2}; (C3xQ8):C2; C3xQD16; GL(2,3) | (x – 22) (x + 2) (x – 4)4 (x – 2)6 (x + 4)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 8 | GL(2,3) | (x – 22) (x + 2) (x – 4)4 (x – 2)6 (x + 4)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 8 | GL(2,3) | (x – 22) (x + 2) (x – 4)4 (x – 2)6 (x + 4)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 22 | 10 | 8 | GL(2,3) | (x – 22) (x + 2) (x – 4)4 (x – 2)6 (x + 4)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 23 | 12 | 10 | C24:C2{2}; (C3:C8):C2{2}; (C3xQ8):C2; C3xQD16; GL(2,3) | (x – 23) (x + 1) (x – 5)4 (x – 3)6 (x + 3)12 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 23 | 12 | 10 | GL(2,3) | (x – 23) (x + 1) (x – 5)4 (x – 3)6 (x + 3)12 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 23 | 12 | 10 | GL(2,3) | (x – 23) (x + 1) (x – 5)4 (x – 3)6 (x + 3)12 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 23 | 12 | 10 | GL(2,3) | (x – 23) (x + 1) (x – 5)4 (x – 3)6 (x + 3)12 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 24 | 12 | 10 | GL(2,3) | (x – 24) x5 (x – 4)6 (x + 4)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 24 | 12 | 10 | GL(2,3) | (x – 24) x5 (x – 4)6 (x + 4)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 24 | 12 | 10 | GL(2,3) | (x – 24) x5 (x – 4)6 (x + 4)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 24 | 12 | 10 | GL(2,3) | (x – 24) x5 (x – 4)6 (x + 4)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 24 | 12 | 10 | GL(2,3) | (x – 24) x5 (x – 4)6 (x + 4)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 24 | 12 | 10 | GL(2,3) | (x – 24) x5 (x – 4)6 (x + 4)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 25 | 14 | 12 | C24:C2{2}; (C3:C8):C2{2}; (C3xQ8):C2; C3xQD16; GL(2,3) | (x – 25) (x – 1) (x + 5)4 (x + 3)6 (x – 3)12 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 25 | 14 | 12 | GL(2,3) | (x – 25) (x – 1) (x + 5)4 (x + 3)6 (x – 3)12 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 25 | 14 | 12 | GL(2,3) | (x – 25) (x – 1) (x + 5)4 (x + 3)6 (x – 3)12 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 25 | 14 | 12 | GL(2,3) | (x – 25) (x – 1) (x + 5)4 (x + 3)6 (x – 3)12 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 25 | 24 | 2 | C3:C16; C48; C8xS3; C24:C2{1}; C24:C2{2}; D48; C3:Q16{1}; C2x(C3:C8); (C3:C8):C2{1}; C4x(C3:C4); (C3:C4):C4; C12:C4; (C12xC2):C2{1}; (C3xD8):C2; (C3:C8):C2{2}; (C3xQ8):C2; C3:Q16{2}; (C2x(C3:C4)):C2{1}; C12xC4; C3x((C4xC2):C2){1}; C3x(C4:C4); C24xC2; C3x(C8:C2); C3xD16; C3xQD16; C3xQ16; C2.S4=SL(2,3).C2; GL(2,3); A4:C4; C4xA4; C2xSL(2,3); SL(2,3):C2; C2x(C3:Q8); C2xC4xS3; C2xD24; (C12xC2):C2{2}; D8xS3; (C2x(C3:C4)):C2{2}; Q8xS3; (C4xS3):C2; C2xC2x(C3:C4); C2x((C6xC2):C2); C12xC2xC2; C6xD8; C6xQ8; C3x((C4xC2):C2){2}; C2xS4; C2xC2xA4; C2xC2xC2xS3; C6xC2xC2xC2 | (x – 25) (x + 23) (x – 1)22 (x + 1)24 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 27 | 16 | 14 | GL(2,3) | (x – 27) (x – 3) (x + 3)4 (x – 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 27 | 16 | 14 | GL(2,3) | (x – 27) (x – 3) (x + 3)4 (x – 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 27 | 16 | 14 | GL(2,3) | (x – 27) (x – 3) (x + 3)4 (x – 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 27 | 16 | 14 | GL(2,3) | (x – 27) (x – 3) (x + 3)4 (x – 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 27 | 16 | 14 | GL(2,3) | (x – 27) (x – 3) (x + 3)4 (x – 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 27 | 16 | 14 | GL(2,3) | (x – 27) (x – 3) (x + 3)4 (x – 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 27 | 16 | 14 | GL(2,3) | (x – 27) (x – 3) (x + 3)4 (x – 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 27 | 16 | 14 | GL(2,3) | (x – 27) (x – 3) (x + 3)4 (x – 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 27 | 16 | 14 | GL(2,3) | (x – 27) (x – 3) (x + 3)4 (x – 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 27 | 16 | 14 | GL(2,3) | (x – 27) (x – 3) (x + 3)4 (x – 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 27 | 16 | 14 | GL(2,3) | (x – 27) (x – 3) (x + 3)4 (x – 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 27 | 16 | 14 | GL(2,3) | (x – 27) (x – 3) (x + 3)4 (x – 1)6 (x2 – 17)6 (x2 + 2x – 11)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 30 | 22 | 18 | GL(2,3) | (x – 30) (x – 6) (x + 6)4 (x – 2)6 (x + 2)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 30 | 22 | 18 | GL(2,3) | (x – 30) (x – 6) (x + 6)4 (x – 2)6 (x + 2)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 30 | 22 | 18 | GL(2,3) | (x – 30) (x – 6) (x + 6)4 (x – 2)6 (x + 2)12 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 30 | 24 | 18 | C24:C2{2}; (C3:C8):C2{2}; (C3xQ8):C2; C3xQD16; GL(2,3) | (x – 30) (x – 6) (x + 6)6 x16 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 30 | 24 | 18 | GL(2,3) | (x – 30) (x – 6) (x + 6)6 x16 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 30 | 24 | 18 | GL(2,3) | (x – 30) (x – 6) (x + 6)6 x16 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 30 | 24 | 18 | GL(2,3) | (x – 30) (x – 6) (x + 6)6 x16 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 32 | 22 | 20 | GL(2,3) | (x – 32) x3 (x + 4)8 (x2 – 20)4 (x2 – 8)6 (x4 – 16x2 + 16)4 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 32 | 22 | 20 | GL(2,3) | (x – 32) x3 (x + 4)8 (x2 – 20)4 (x2 – 8)6 (x4 – 16x2 + 16)4 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 33 | 32 | 18 | C3:C16; C48; (C4xC4):C3; C8xS3; C24:C2{1}; C24:C2{2}; D48; C3:Q16{1}; C2x(C3:C8); (C3:C8):C2{1}; C4x(C3:C4); (C3:C4):C4; C12:C4; (C12xC2):C2{1}; (C3xD8):C2; (C3:C8):C2{2}; (C3xQ8):C2; C3:Q16{2}; (C2x(C3:C4)):C2{1}; C12xC4; C3x((C4xC2):C2){1}; C3x(C4:C4); C24xC2; C3x(C8:C2); C3xD16; C3xQD16; C3xQ16; C2.S4=SL(2,3).C2; GL(2,3); A4:C4; C4xA4; C2xSL(2,3); SL(2,3):C2; C2x(C3:Q8); C2xC4xS3; C2xD24; (C12xC2):C2{2}; D8xS3; (C2x(C3:C4)):C2{2}; Q8xS3; (C4xS3):C2; C2xC2x(C3:C4); C2x((C6xC2):C2); C12xC2xC2; C6xD8; C6xQ8; C3x((C4xC2):C2){2}; C2xS4; C2xC2xA4; (C2xC2xC2xC2):C3; C2xC2xC2xS3; C6xC2xC2xC2 | (x – 33) (x + 15)2 (x – 1)21 (x + 1)24 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 34 | 26 | 22 | C24:C2{2}; (C3:C8):C2{2}; (C3xQ8):C2; C3xQD16; GL(2,3) | (x – 34) (x – 10) (x + 2)22 (x2 – 12)12 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 34 | 30 | 22 | C24:C2{2}; (C3:C8):C2{2}; (C3xQ8):C2; C3xQD16; GL(2,3) | (x – 34) (x + 10)3 (x – 2)21 (x + 2)23 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 35 | 26 | 24 | GL(2,3) | (x – 35) (x – 5)2 (x + 5)4 (x – 1)8 (x – 3)11 (x + 3)22 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 36 | 28 | 26 | (C3xQ8):C2; GL(2,3) | (x – 36) (x – 6) (x – 4)4 (x – 2)10 (x + 4)11 (x + 2)17 (x2 – 12)2 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 37 | 29 | 28 | C8xS3; C24:C2{1}; C24:C2{2}; D48; C2x(C3:C8); (C3xQ8):C2; C3:Q16{2}; C3x(C8:C2); C3xQ16; GL(2,3); C2xSL(2,3); (C12xC2):C2{2}; Q8xS3; (C4xS3):C2; C6xQ8 | (x – 37) (x – 5) (x – 1)2 (x + 1)2 (x – 3)14 (x + 3)28 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 37 | 29 | 28 | C8xS3; C2x(C3:C8); (C3:C8):C2{2}; (C3xQ8):C2; C3xQD16; GL(2,3); C2xSL(2,3); Q8xS3; C6xQ8 | (x – 37) (x + 5) (x – 1)4 (x – 3)15 (x + 3)27 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 37 | 36 | 26 | C3:C16; C48; (C4xC4):C3; C8xS3; C24:C2{1}; C24:C2{2}; D48; C3:Q16{1}; C2x(C3:C8); (C3:C8):C2{1}; C4x(C3:C4); (C3:C4):C4; C12:C4; (C12xC2):C2{1}; (C3xD8):C2; (C3:C8):C2{2}; (C3xQ8):C2; C3:Q16{2}; (C2x(C3:C4)):C2{1}; C12xC4; C3x((C4xC2):C2){1}; C3x(C4:C4); C24xC2; C3x(C8:C2); C3xD16; C3xQD16; C3xQ16; C2.S4=SL(2,3).C2; GL(2,3); A4:C4; C4xA4; C2xSL(2,3); SL(2,3):C2; C2x(C3:Q8); C2xC4xS3; C2xD24; (C12xC2):C2{2}; D8xS3; (C2x(C3:C4)):C2{2}; Q8xS3; (C4xS3):C2; C2xC2x(C3:C4); C2x((C6xC2):C2); C12xC2xC2; C6xD8; C6xQ8; C3x((C4xC2):C2){2}; C2xS4; C2xC2xA4; (C2xC2xC2xC2):C3; C2xC2xC2xS3; C6xC2xC2xC2 | (x – 37) (x + 11)3 (x – 1)20 (x + 1)24 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 38 | 34 | 28 | (C4xC4):C3; C24:C2{1}; C24:C2{2}; (C3:C8):C2{1}; C4x(C3:C4); (C3:C4):C4; C12:C4; (C12xC2):C2{1}; (C3:C8):C2{2}; (C3xQ8):C2; (C2x(C3:C4)):C2{1}; C12xC4; C3x((C4xC2):C2){1}; C3x(C4:C4); C3x(C8:C2); C3xQD16; GL(2,3); A4:C4; C4xA4; C2xC4xS3; C2xD24; D8xS3; C2xC2x(C3:C4); C2x((C6xC2):C2); C12xC2xC2; C6xD8; C2xS4; C2xC2xA4; (C2xC2xC2xC2):C3; C2xC2xC2xS3; C6xC2xC2xC2 | (x – 38) (x + 10)2 (x – 2)18 (x + 2)27 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 38 | 34 | 28 | (C4xC4):C3; C24:C2{1}; C24:C2{2}; (C3:C8):C2{1}; C4x(C3:C4); (C3:C8):C2{2}; (C3xQ8):C2; C12xC4; C3x(C8:C2); C3xQD16; GL(2,3); C2xD24; D8xS3; C2x((C6xC2):C2); C6xD8; C2xS4 | (x – 38) (x + 10)2 (x – 2)18 (x + 2)27 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 41 | 40 | 34 | C3:C16; C48; (C4xC4):C3; C8xS3; C24:C2{1}; C24:C2{2}; D48; C3:Q16{1}; C2x(C3:C8); (C3:C8):C2{1}; C4x(C3:C4); (C3:C4):C4; C12:C4; (C12xC2):C2{1}; (C3xD8):C2; (C3:C8):C2{2}; (C3xQ8):C2; C3:Q16{2}; (C2x(C3:C4)):C2{1}; C12xC4; C3x((C4xC2):C2){1}; C3x(C4:C4); C24xC2; C3x(C8:C2); C3xD16; C3xQD16; C3xQ16; C2.S4=SL(2,3).C2; GL(2,3); A4:C4; C4xA4; C2xSL(2,3); SL(2,3):C2; C2x(C3:Q8); C2xC4xS3; C2xD24; (C12xC2):C2{2}; D8xS3; (C2x(C3:C4)):C2{2}; Q8xS3; (C4xS3):C2; C2xC2x(C3:C4); C2x((C6xC2):C2); C12xC2xC2; C6xD8; C6xQ8; C3x((C4xC2):C2){2}; C2xS4; C2xC2xA4; (C2xC2xC2xC2):C3; C2xC2xC2xS3; C6xC2xC2xC2 | (x – 41) (x + 7)5 (x – 1)18 (x + 1)24 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 42 | 38 | 36 | (C4xC4):C3; C24:C2{1}; C24:C2{2}; (C3:C8):C2{1}; C4x(C3:C4); (C3:C4):C4; C12:C4; (C12xC2):C2{1}; (C3:C8):C2{2}; (C3xQ8):C2; (C2x(C3:C4)):C2{1}; C12xC4; C3x((C4xC2):C2){1}; C3x(C4:C4); C3x(C8:C2); C3xQD16; GL(2,3); A4:C4; C4xA4; C2xC4xS3; C2xD24; D8xS3; C2xC2x(C3:C4); C2x((C6xC2):C2); C12xC2xC2; C6xD8; C2xS4; C2xC2xA4; (C2xC2xC2xC2):C3; C2xC2xC2xS3; C6xC2xC2xC2 | (x – 42) (x + 6)2 (x – 2)15 (x + 2)30 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 43 | 40 | 38 | (C4xC4):C3; C24:C2{1}; C24:C2{2}; (C3:C8):C2{1}; C4x(C3:C4); (C3:C4):C4; C12:C4; (C12xC2):C2{1}; (C3:C8):C2{2}; (C3xQ8):C2; (C2x(C3:C4)):C2{1}; C12xC4; C3x((C4xC2):C2){1}; C3x(C4:C4); C3x(C8:C2); C3xQD16; GL(2,3); A4:C4; C4xA4; C2xC4xS3; C2xD24; D8xS3; C2xC2x(C3:C4); C2x((C6xC2):C2); C12xC2xC2; C6xD8; C2xS4; C2xC2xA4; (C2xC2xC2xC2):C3; C2xC2xC2xS3; C6xC2xC2xC2 | (x – 43) (x + 5)2 (x – 3)3 (x – 1)12 (x + 3)12 (x + 1)18 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 43 | 42 | 38 | C3:C16; C48; C8xS3; C24:C2{1}; C24:C2{2}; D48; C3:Q16{1}; C2x(C3:C8); (C3:C8):C2{1}; C4x(C3:C4); (C3:C4):C4; C12:C4; (C12xC2):C2{1}; (C3xD8):C2; (C3:C8):C2{2}; (C3xQ8):C2; C3:Q16{2}; (C2x(C3:C4)):C2{1}; C12xC4; C3x((C4xC2):C2){1}; C3x(C4:C4); C24xC2; C3x(C8:C2); C3xD16; C3xQD16; C3xQ16; C2.S4=SL(2,3).C2; GL(2,3); A4:C4; C4xA4; C2xSL(2,3); SL(2,3):C2; C2x(C3:Q8); C2xC4xS3; C2xD24; (C12xC2):C2{2}; D8xS3; (C2x(C3:C4)):C2{2}; Q8xS3; (C4xS3):C2; C2xC2x(C3:C4); C2x((C6xC2):C2); C12xC2xC2; C6xD8; C6xQ8; C3x((C4xC2):C2){2}; C2xS4; C2xC2xA4; C2xC2xC2xS3; C6xC2xC2xC2 | (x – 43) (x + 5)7 (x – 1)16 (x + 1)24 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 44 | 42 | 40 | (C4xC4):C3; C8xS3; C24:C2{1}; C24:C2{2}; D48; C2x(C3:C8); (C3:C8):C2{1}; C4x(C3:C4); (C3:C4):C4; C12:C4; (C12xC2):C2{1}; (C3xD8):C2; (C3:C8):C2{2}; (C3xQ8):C2; (C2x(C3:C4)):C2{1}; C12xC4; C3x((C4xC2):C2){1}; C3x(C4:C4); C24xC2; C3x(C8:C2); C3xD16; C3xQD16; GL(2,3); A4:C4; C4xA4; C2xSL(2,3); SL(2,3):C2; C2x(C3:Q8); C2xC4xS3; C2xD24; (C12xC2):C2{2}; D8xS3; (C2x(C3:C4)):C2{2}; Q8xS3; (C4xS3):C2; C2xC2x(C3:C4); C2x((C6xC2):C2); C12xC2xC2; C6xD8; C6xQ8; C3x((C4xC2):C2){2}; C2xS4; C2xC2xA4; (C2xC2xC2xC2):C3; C2xC2xC2xS3; C6xC2xC2xC2 | (x – 44) (x + 4)5 (x – 2)6 x18 (x + 2)18 | view download | raw gap magma sage | raw gap magma sage | view download |
| 48 | 45 | 44 | 42 | C3:C16; C48; (C4xC4):C3; C8xS3; C24:C2{1}; C24:C2{2}; D48; C3:Q16{1}; C2x(C3:C8); (C3:C8):C2{1}; C4x(C3:C4); (C3:C4):C4; C12:C4; (C12xC2):C2{1}; (C3xD8):C2; (C3:C8):C2{2}; (C3xQ8):C2; C3:Q16{2}; (C2x(C3:C4)):C2{1}; C12xC4; C3x((C4xC2):C2){1}; C3x(C4:C4); C24xC2; C3x(C8:C2); C3xD16; C3xQD16; C3xQ16; C2.S4=SL(2,3).C2; GL(2,3); A4:C4; C4xA4; C2xSL(2,3); SL(2,3):C2; C2x(C3:Q8); C2xC4xS3; C2xD24; (C12xC2):C2{2}; D8xS3; (C2x(C3:C4)):C2{2}; Q8xS3; (C4xS3):C2; C2xC2x(C3:C4); C2x((C6xC2):C2); C12xC2xC2; C6xD8; C6xQ8; C3x((C4xC2):C2){2}; C2xS4; C2xC2xA4; (C2xC2xC2xC2):C3; C2xC2xC2xS3; C6xC2xC2xC2 | (x – 45) (x + 3)11 (x – 1)12 (x + 1)24 | view download | raw gap magma sage | raw gap magma sage | view download |