| v | k | b | a | groups | characteristic polynomial | generating sets | matrix | download | WL-closure |
|---|---|---|---|---|---|---|---|---|---|
| 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 | 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 | 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 | 25 | 24 | 14 | C9:C4; C36; (C2xC2):C9; D36; C18xC2; C3x(C3:C4); (C3xC3):C4{1}; C12xC3; S3xS3; C3xA4; C6xS3; C2x((C3xC3):C2); C6xC6 | (x – 25) (x + 11)2 (x – 1)15 (x + 1)18 | 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 |