v | k | b | a | groups | characteristic polynomial | generating sets | matrix | download | WL-closure |
---|---|---|---|---|---|---|---|---|---|
54 | 21 | 12 | 4 | ((C3xC3):C3):C2{1}; (C9:C3):C2; ((C3xC3):C3):C2{2}; C2x((C3xC3):C3); C2x(C9:C3) | (x – 21) (x – 15) (x – 3)20 (x + 3)32 | view download | raw gap magma sage | raw gap magma sage | view download |
54 | 21 | 12 | 4 | ((C3xC3):C3):C2{1}; (C9:C3):C2; ((C3xC3):C3):C2{2}; C2x((C3xC3):C3); C2x(C9:C3) | (x – 21) (x – 15) (x – 3)20 (x + 3)32 | view download | raw gap magma sage | raw gap magma sage | view download |
54 | 33 | 24 | 16 | C9xS3; ((C3xC3):C3):C2{1}; (C9:C3):C2; (C9xC3):C2; ((C3xC3):C3):C2{2}; C2x((C3xC3):C3); C2x(C9:C3); C3xC3xS3; C3x((C3xC3):C2); (C3xC3xC3):C2 | (x – 33) (x – 15) (x – 3)18 (x + 3)34 | view download | raw gap magma sage | raw gap magma sage | view download |
54 | 33 | 24 | 16 | ((C3xC3):C3):C2{1}; (C9:C3):C2; ((C3xC3):C3):C2{2}; C2x((C3xC3):C3); C2x(C9:C3) | (x – 33) (x – 15) (x – 3)18 (x + 3)34 | view download | raw gap magma sage | raw gap magma sage | view download |
54 | 37 | 36 | 20 | D54; C54; C3xD18; C9xS3; ((C3xC3):C3):C2{1}; (C9:C3):C2; (C9xC3):C2; ((C3xC3):C3):C2{2}; C18xC3; C2x((C3xC3):C3); C2x(C9:C3); C3xC3xS3; C3x((C3xC3):C2); (C3xC3xC3):C2; C6xC3xC3 | (x – 37) (x + 17)2 (x – 1)24 (x + 1)27 | view download | raw gap magma sage | raw gap magma sage | view download |
54 | 42 | 33 | 32 | C9xS3; ((C3xC3):C3):C2{1}; (C9:C3):C2; (C9xC3):C2; ((C3xC3):C3):C2{2}; C2x((C3xC3):C3); C2x(C9:C3); C3xC3xS3; C3x((C3xC3):C2); (C3xC3xC3):C2 | (x – 42) (x – 6) (x – 3)18 (x + 3)34 | view download | raw gap magma sage | raw gap magma sage | view download |
54 | 42 | 33 | 32 | ((C3xC3):C3):C2{1}; (C9:C3):C2; ((C3xC3):C3):C2{2}; C2x((C3xC3):C3); C2x(C9:C3) | (x – 42) (x + 6) (x – 3)20 (x + 3)32 | view download | raw gap magma sage | raw gap magma sage | view download |
54 | 42 | 33 | 32 | ((C3xC3):C3):C2{1}; (C9:C3):C2; ((C3xC3):C3):C2{2}; C2x((C3xC3):C3); C2x(C9:C3) | (x – 42) (x + 6) (x – 3)20 (x + 3)32 | view download | raw gap magma sage | raw gap magma sage | view download |
54 | 42 | 33 | 32 | ((C3xC3):C3):C2{1}; (C9:C3):C2; ((C3xC3):C3):C2{2}; C2x((C3xC3):C3); C2x(C9:C3) | (x – 42) (x – 6) (x – 3)18 (x + 3)34 | view download | raw gap magma sage | raw gap magma sage | view download |
54 | 45 | 39 | 36 | ((C3xC3):C3):C2{1}; (C9:C3):C2; ((C3xC3):C3):C2{2}; C2x((C3xC3):C3); C2x(C9:C3) | (x – 45) (x + 9) (x – 3)12 x16 (x + 3)24 | view download | raw gap magma sage | raw gap magma sage | view download |
54 | 45 | 39 | 36 | ((C3xC3):C3):C2{1}; (C9:C3):C2; ((C3xC3):C3):C2{2}; C2x((C3xC3):C3); C2x(C9:C3) | (x – 45) (x + 9) (x – 3)12 x16 (x + 3)24 | view download | raw gap magma sage | raw gap magma sage | view download |
54 | 49 | 48 | 44 | D54; C54; C3xD18; C9xS3; ((C3xC3):C3):C2{1}; (C9:C3):C2; (C9xC3):C2; ((C3xC3):C3):C2{2}; C18xC3; C2x((C3xC3):C3); C2x(C9:C3); C3xC3xS3; C3x((C3xC3):C2); (C3xC3xC3):C2; C6xC3xC3 | (x – 49) (x + 5)8 (x – 1)18 (x + 1)27 | view download | raw gap magma sage | raw gap magma sage | view download |