| v | k | b | a | groups | characteristic polynomial | generating sets | matrix | download | WL-closure |
|---|---|---|---|---|---|---|---|---|---|
| 56 | 29 | 28 | 2 | C7:C8; C56; C7:Q8; C4xD14; D56; C2x(C7:C4); (C14xC2):C2; C28xC2; C7xD8; C7xQ8; C2xC2xD14; C14xC2xC2 | (x – 29) (x + 27) (x – 1)26 (x + 1)28 | view download | raw gap magma sage | raw gap magma sage | view download |
| 56 | 43 | 42 | 30 | C7:C8; C56; C7:Q8; C4xD14; D56; C2x(C7:C4); (C14xC2):C2; C28xC2; C7xD8; C7xQ8; C2xC2xD14; C14xC2xC2 | (x – 43) (x + 13)3 (x – 1)24 (x + 1)28 | view download | raw gap magma sage | raw gap magma sage | view download |
| 56 | 49 | 48 | 42 | C7:C8; C56; C7:Q8; C4xD14; D56; C2x(C7:C4); (C14xC2):C2; C28xC2; C7xD8; C7xQ8; (C2xC2xC2):C7; C2xC2xD14; C14xC2xC2 | (x – 49) (x + 7)6 (x – 1)21 (x + 1)28 | view download | raw gap magma sage | raw gap magma sage | view download |
| 56 | 53 | 52 | 50 | C7:C8; C56; C7:Q8; C4xD14; D56; C2x(C7:C4); (C14xC2):C2; C28xC2; C7xD8; C7xQ8; (C2xC2xC2):C7; C2xC2xD14; C14xC2xC2 | (x – 53) (x + 3)13 (x – 1)14 (x + 1)28 | view download | raw gap magma sage | raw gap magma sage | view download |