v | k | b | a | groups | characteristic polynomial | generating sets | matrix | download | WL-closure |
---|---|---|---|---|---|---|---|---|---|
36 | 10 | 4 | 2 | D36; C18xC2 | (x – 10) (x – 4)6 (x + 2)17 (x3 – 12x + 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 10 | 4 | 2 | D36; C18xC2 | (x – 10) (x – 4)3 (x + 4)3 (x – 2)6 (x + 2)11 (x3 – 12x + 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 10 | 4 | 2 | D36; C18xC2 | (x – 10) (x + 4) (x – 2)2 (x – 4)5 (x + 2)15 (x3 – 12x – 8)2 (x3 – 12x + 8)2 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 10 | 4 | 2 | D36; C18xC2 | (x – 10) (x – 4)2 (x + 4)4 (x – 2)8 (x + 2)9 (x3 – 12x – 8)2 (x3 – 12x + 8)2 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 10 | 4 | 2 | D36 | (x – 10) (x – 4)2 (x + 4)4 (x – 2)8 (x + 2)9 (x3 – 12x – 8)2 (x3 – 12x + 8)2 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 10 | 4 | 2 | D36 | (x – 10) (x – 4)6 (x + 2)17 (x3 – 12x + 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 10 | 4 | 2 | D36 | (x – 10) (x – 4)2 (x + 4)4 (x – 2)8 (x + 2)9 (x3 – 12x – 8)2 (x3 – 12x + 8)2 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 11 | 7 | 2 | C9:C4; C36; (C2xC2):C9; D36; C18xC2; C3x(C3:C4); (C3xC3):C4{1}; C12xC3; (C3xC3):C4{2}; S3xS3; C3xA4; C6xS3; C2x((C3xC3):C2); C6xC6 | (x – 11) (x – 7)3 (x – 2)8 (x + 2)24 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 14 | 6 | 4 | D36; C18xC2 | (x – 14) (x – 4)2 (x + 2)4 (x – 2)5 (x + 4)6 (x3 – 12x – 8)2 (x3 – 12x + 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 14 | 6 | 4 | D36; C18xC2 | (x – 14) (x – 4) (x + 2)2 (x – 2)7 (x + 4)7 (x3 – 12x + 8)2 (x3 – 12x – 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 14 | 6 | 4 | D36; C18xC2 | (x – 14) (x – 4) (x + 2)2 (x – 2)7 (x + 4)7 (x3 – 12x + 8)2 (x3 – 12x – 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 14 | 6 | 4 | D36; C18xC2 | (x – 14) (x + 4)8 (x – 2)9 (x3 – 12x – 8)6 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 19 | 18 | 2 | C9:C4; C36; D36; C18xC2; C3x(C3:C4); (C3xC3):C4{1}; C12xC3; (C3xC3):C4{2}; S3xS3; C6xS3; C2x((C3xC3):C2); C6xC6 | (x – 19) (x + 17) (x – 1)16 (x + 1)18 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 20 | 12 | 10 | (C2xC2):C9; D36; C18xC2 | (x – 20) (x – 2)8 (x + 4)9 (x3 – 12x – 8)6 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 20 | 12 | 10 | (C2xC2):C9; D36; C18xC2 | (x – 20) (x – 2)2 (x – 4)3 (x + 2)6 (x + 4)6 (x3 – 12x + 8)6 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 20 | 12 | 10 | D36; C18xC2 | (x – 20) (x – 4) (x + 2)2 (x – 2)6 (x + 4)8 (x3 – 12x + 8)2 (x3 – 12x – 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 20 | 12 | 10 | D36; C18xC2 | (x – 20) (x – 4)2 (x – 2)4 (x + 2)4 (x + 4)7 (x3 – 12x – 8)2 (x3 – 12x + 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 22 | 14 | 12 | D36; C18xC2 | (x – 22) (x – 4) (x + 2)4 (x – 2)5 (x + 4)7 (x3 – 12x – 8)2 (x3 – 12x + 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 22 | 14 | 12 | D36; C18xC2 | (x – 22) (x – 4) (x + 2)4 (x – 2)5 (x + 4)7 (x3 – 12x – 8)2 (x3 – 12x + 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 22 | 14 | 12 | D36; C18xC2 | (x – 22) (x + 2)2 (x – 2)7 (x + 4)8 (x3 – 12x + 8)2 (x3 – 12x – 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 22 | 14 | 12 | D36; C18xC2 | (x – 22) (x – 4)2 (x – 2)3 (x + 2)6 (x + 4)6 (x3 – 12x + 8)6 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 25 | 21 | 16 | C9:C4; C36; D36; C18xC2; C3x(C3:C4); (C3xC3):C4{1}; C12xC3; (C3xC3):C4{2}; S3xS3; C6xS3; C2x((C3xC3):C2); C6xC6 | (x – 25) (x + 7) (x – 7)2 (x – 2)8 (x + 2)24 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 25 | 24 | 14 | C9:C4; C36; (C2xC2):C9; D36; C18xC2; C3x(C3:C4); (C3xC3):C4{1}; C12xC3; S3xS3; C3xA4; C6xS3; C2x((C3xC3):C2); C6xC6 | (x – 25) (x + 11)2 (x – 1)15 (x + 1)18 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 26 | 20 | 18 | D36; C18xC2 | (x – 26) (x – 2)2 (x – 4)3 (x + 4)3 (x + 2)15 (x3 – 12x – 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 26 | 20 | 18 | D36; C18xC2 | (x – 26) (x + 4)6 (x – 2)8 (x + 2)9 (x3 – 12x – 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 26 | 20 | 18 | D36; C18xC2 | (x – 26) (x – 4) (x + 4)5 (x – 2)6 (x + 2)11 (x3 – 12x – 8)2 (x3 – 12x + 8)2 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 26 | 20 | 18 | D36; C18xC2 | (x – 26) (x + 4)2 (x – 4)4 (x + 2)17 (x3 – 12x – 8)2 (x3 – 12x + 8)2 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 26 | 20 | 18 | D36 | (x – 26) (x – 4) (x + 4)5 (x – 2)6 (x + 2)11 (x3 – 12x – 8)2 (x3 – 12x + 8)2 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 31 | 30 | 26 | C9:C4; C36; (C2xC2):C9; D36; C18xC2; C3x(C3:C4); (C3xC3):C4{1}; C12xC3; (C3xC3):C4{2}; S3xS3; C3xA4; C6xS3; C2x((C3xC3):C2); C6xC6 | (x – 31) (x + 5)5 (x – 1)12 (x + 1)18 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 33 | 32 | 30 | C9:C4; C36; (C2xC2):C9; D36; C18xC2; C3x(C3:C4); (C3xC3):C4{1}; C12xC3; (C3xC3):C4{2}; S3xS3; C3xA4; C6xS3; C2x((C3xC3):C2); C6xC6 | (x – 33) (x + 3)8 (x – 1)9 (x + 1)18 | view download | raw gap magma sage | raw gap magma sage | view download |