v | k | b | a | groups | characteristic polynomial | generating sets | matrix | download | WL-closure |
---|---|---|---|---|---|---|---|---|---|
28 | 9 | 5 | 2 | C7:C4; C28; D28; C14xC2 | (x – 9) (x – 5)3 (x – 2)6 (x + 2)18 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 10 | 4 | 2 | D28; C14xC2 | (x – 10) (x – 4)2 (x + 2)7 (x3 – 2x2 – 8x + 8)2 (x3 + 2x2 – 8x – 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 10 | 4 | 2 | D28; C14xC2 | (x – 10) (x – 4) (x + 4) (x + 2)7 (x3 + 2x2 – 8x – 8)2 (x3 – 2x2 – 8x + 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 10 | 4 | 2 | D28; C14xC2 | (x – 10) (x – 4) (x + 4) (x + 2)7 (x3 + 2x2 – 8x – 8)2 (x3 – 2x2 – 8x + 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 10 | 4 | 2 | D28; C14xC2 | (x – 10) (x + 4)2 (x + 2)7 (x3 – 2x2 – 8x + 8)6 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 12 | 6 | 4 | D28; C14xC2 | (x – 12) (x + 4) (x – 4)2 (x + 2)6 (x3 – 2x2 – 8x + 8)2 (x3 + 2x2 – 8x – 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 12 | 6 | 4 | D28; C14xC2 | (x – 12) (x – 4)3 (x + 2)6 (x3 + 2x2 – 8x – 8)6 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 12 | 6 | 4 | D28; C14xC2 | (x – 12) (x – 4) (x + 4)2 (x + 2)6 (x3 + 2x2 – 8x – 8)2 (x3 – 2x2 – 8x + 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 12 | 6 | 4 | D28; C14xC2 | (x – 12) (x + 4)3 (x + 2)6 (x3 – 2x2 – 8x + 8)6 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 15 | 14 | 2 | C7:C4; C28; D28; C14xC2 | (x – 15) (x + 13) (x – 1)12 (x + 1)14 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 18 | 12 | 10 | D28; C14xC2 | (x – 18) (x – 4) (x + 4) (x + 2)7 (x3 – 2x2 – 8x + 8)2 (x3 + 2x2 – 8x – 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 18 | 12 | 10 | D28; C14xC2 | (x – 18) (x – 4) (x + 4) (x + 2)7 (x3 – 2x2 – 8x + 8)2 (x3 + 2x2 – 8x – 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 18 | 12 | 10 | D28; C14xC2 | (x – 18) (x + 4)2 (x + 2)7 (x3 + 2x2 – 8x – 8)2 (x3 – 2x2 – 8x + 8)4 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 18 | 12 | 10 | D28; C14xC2 | (x – 18) (x – 4)2 (x + 2)7 (x3 + 2x2 – 8x – 8)6 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 19 | 15 | 12 | C7:C4; C28; D28; C14xC2 | (x – 19) (x + 5) (x – 5)2 (x – 2)6 (x + 2)18 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 22 | 18 | 16 | D28 | (x – 22) (x – 4) (x – 2) (x + 4) (x2 – 2)6 (x2 + 4x + 2)6 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 23 | 20 | 18 | D28 | (x – 23) (x + 5) (x – 3)2 (x2 + 2x – 1)12 | view download | raw gap magma sage | raw gap magma sage | view download |
28 | 25 | 24 | 22 | C7:C4; C28; D28; C14xC2 | (x – 25) (x + 3)6 (x – 1)7 (x + 1)14 | view download | raw gap magma sage | raw gap magma sage | view download |