v | k | b | a | groups | characteristic polynomial | generating sets | matrix | download | WL-closure |
---|---|---|---|---|---|---|---|---|---|
42 | 20 | 10 | 8 | C7xS3; D42 | (x – 20) (x + 4) (x2 + 2x – 2)2 (x3 – 4x2 – 4x + 8)2 (x3 – 2x2 – 8x + 8)2 (x6 + 6x5 – 22x4 – 184x3 – 40x2 + 1368x + 2008)4 | view download | raw gap magma sage | raw gap magma sage | view download |
42 | 29 | 28 | 16 | (C7:C3):C2; C2x(C7:C3); C7xS3; C3xD14; D42; C42 | (x – 29) (x + 13)2 (x – 1)18 (x + 1)21 | view download | raw gap magma sage | raw gap magma sage | view download |
42 | 32 | 25 | 24 | D42 | (x – 32) (x – 4) (x + 3)12 (x2 – 13)2 (x2 – 6)12 | view download | raw gap magma sage | raw gap magma sage | view download |
42 | 37 | 34 | 32 | (C7:C3):C2; C3xD14; D42 | (x – 37) (x + 5)2 (x – 3)3 (x2 + 2x – 1)18 | view download | raw gap magma sage | raw gap magma sage | view download |
42 | 37 | 36 | 32 | (C7:C3):C2; C2x(C7:C3); C7xS3; C3xD14; D42; C42 | (x – 37) (x + 5)6 (x – 1)14 (x + 1)21 | view download | raw gap magma sage | raw gap magma sage | view download |