v | k | b | a | groups | characteristic polynomial | generating sets | matrix | download | WL-closure |
---|---|---|---|---|---|---|---|---|---|
36 | 10 | 4 | 2 | C3x(C3:C4); (C3xC3):C4{2}; S3xS3; C6xS3; C2x((C3xC3):C2); C6xC6 | (x – 10) (x – 4)4 (x + 4)6 (x – 2)12 (x + 2)13 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 11 | 6 | 2 | C3x(C3:C4); (C3xC3):C4{2}; S3xS3; C6xS3; C2x((C3xC3):C2); C6xC6 | (x – 11) (x – 5)4 (x + 5)6 (x – 1)12 (x + 1)13 | 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 | 13 | 6 | 4 | (C3xC3):C4{2}; S3xS3; C6xS3 | (x – 13) (x – 5) (x – 1)4 (x + 1)4 (x – 3)6 (x + 3)12 (x2 – 13)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 14 | 6 | 4 | (C3xC3):C4{2}; S3xS3; C6xS3 | (x – 14) (x – 4)6 (x + 4)8 (x – 2)9 (x + 2)12 | 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 | (C3xC3):C4{2}; S3xS3; C6xS3 | (x – 20) (x – 4)6 (x – 2)8 (x + 4)9 (x + 2)12 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 23 | 16 | 14 | (C3xC3):C4{2}; S3xS3; C6xS3 | (x – 23) (x + 5) (x – 1)4 (x + 1)4 (x – 3)6 (x + 3)12 (x2 – 13)4 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 24 | 16 | 15 | (C3xC3):C4{2}; S3xS3 | (x – 24) x3 (x – 3)12 (x + 3)20 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 24 | 16 | 15 | (C3xC3):C4{2}; S3xS3; C6xS3 | (x – 24) x3 (x – 3)12 (x + 3)20 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 25 | 18 | 16 | (C3xC3):C4{2}; S3xS3 | (x – 25) (x – 3)2 (x – 1)9 (x + 3)12 (x3 + x2 – 17x – 21)4 | 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 | 26 | 20 | 18 | C3x(C3:C4); (C3xC3):C4{2}; S3xS3; C6xS3; C2x((C3xC3):C2); C6xC6 | (x – 26) (x + 2)9 (x + 4)10 (x – 2)16 | view download | raw gap magma sage | raw gap magma sage | view download |
36 | 26 | 20 | 18 | C3x(C3:C4); (C3xC3):C4{2}; S3xS3; C6xS3; C2x((C3xC3):C2); C6xC6 | (x – 26) (x – 2)4 (x + 4)4 (x – 4)6 (x + 2)21 | 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 |