v | k | b | a | groups | characteristic polynomial | generating sets | matrix | download | WL-closure |
---|---|---|---|---|---|---|---|---|---|
56 | 16 | 12 | 2 | C4xD14; D56; C2x(C7:C4); (C14xC2):C2; C28xC2; C7xD8; C2xC2xD14; C14xC2xC2 | (x – 16) (x – 12)3 (x – 2)13 (x + 2)39 | view download | raw gap magma sage | raw gap magma sage | view download |
56 | 16 | 12 | 2 | C4xD14; D56; C2x(C7:C4); (C14xC2):C2; C28xC2; C7xD8; C2xC2xD14; C14xC2xC2 | (x – 16) (x – 12) (x + 12)2 (x – 2)25 (x + 2)27 | view download | raw gap magma sage | raw gap magma sage | view download |
56 | 16 | 12 | 2 | C4xD14; D56; (C14xC2):C2; C2xC2xD14 | (x – 16) (x – 12) (x + 12)2 (x – 2)25 (x + 2)27 | view download | raw gap magma sage | raw gap magma sage | view download |
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 | 40 | 36 | 26 | C4xD14; D56; C2x(C7:C4); (C14xC2):C2; C28xC2; C7xD8; C2xC2xD14; C14xC2xC2 | (x – 40) (x + 12)3 (x – 2)25 (x + 2)27 | view download | raw gap magma sage | raw gap magma sage | view download |
56 | 40 | 36 | 26 | C4xD14; D56; C2x(C7:C4); (C14xC2):C2; C28xC2; C7xD8; C2xC2xD14; C14xC2xC2 | (x – 40) (x + 12) (x – 12)2 (x – 2)13 (x + 2)39 | view download | raw gap magma sage | raw gap magma sage | view download |
56 | 40 | 36 | 26 | C4xD14; D56; (C14xC2):C2; C2xC2xD14 | (x – 40) (x + 12)3 (x – 2)25 (x + 2)27 | 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 | 44 | 42 | C4xD14; D56; (C14xC2):C2; C2xC2xD14 | (x – 49) (x – 5) (x – 1) (x + 3) (x – 3)2 (x + 5)2 (x2 – 2x – 1)6 (x2 + 6x + 7)6 (x2 + 2x – 1)12 | 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 | 50 | 46 | 44 | C4xD14; D56; (C14xC2):C2; C2xC2xD14 | (x – 50) (x + 6) (x – 4)2 (x – 2)2 (x + 4)2 (x2 – 2)12 (x2 + 4x + 2)12 | view download | raw gap magma sage | raw gap magma sage | view download |
56 | 51 | 48 | 46 | C4xD14; D56; (C14xC2):C2; C2xC2xD14 | (x – 51) (x + 5)3 (x – 3)4 (x2 + 2x – 1)24 | view download | raw gap magma sage | raw gap magma sage | view download |
56 | 52 | 50 | 48 | C4xD14; D56; C2x(C7:C4); (C14xC2):C2; C28xC2; C7xD8; (C2xC2xC2):C7; C2xC2xD14; C14xC2xC2 | (x – 52) (x + 4)6 (x – 2)7 x21 (x + 2)21 | 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 |