v | k | b | a | groups | characteristic polynomial | generating sets | matrix | download | WL-closure |
---|---|---|---|---|---|---|---|---|---|
52 | 12 | 4 | 2 | D52; C26xC2 | (x – 12) (x + 4) (x – 4)2 (x2 + 2x – 12)6 (x6 – 2x5 – 20x4 + 32x3 + 96x2 – 96x – 64)2 (x6 + 2x5 – 20x4 – 32x3 + 96x2 + 96x – 64)4 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 12 | 4 | 2 | D52; C26xC2 | (x – 12) (x – 4)3 (x2 + 2x – 12)6 (x6 + 2x5 – 20x4 – 32x3 + 96x2 + 96x – 64)6 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 12 | 4 | 2 | D52; C26xC2 | (x – 12) (x – 4) (x + 4)2 (x2 + 2x – 12)6 (x6 + 2x5 – 20x4 – 32x3 + 96x2 + 96x – 64)2 (x6 – 2x5 – 20x4 + 32x3 + 96x2 – 96x – 64)4 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 12 | 4 | 2 | D52; C26xC2 | (x – 12) (x + 4)3 (x2 + 2x – 12)6 (x6 – 2x5 – 20x4 + 32x3 + 96x2 – 96x – 64)6 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 13 | 4 | 2 | D52; C26xC2 | (x – 13) (x – 5) (x – 3) (x + 5) (x2 – 13)6 (x6 – 4x5 – 15x4 + 48x3 + 67x2 – 108x – 53)2 (x6 + 4x5 – 15x4 – 48x3 + 67x2 + 108x – 53)2 (x6 + 8x5 + 5x4 – 72x3 – 85x2 + 128x + 79)2 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 13 | 4 | 2 | D52; C26xC2 | (x – 13) (x – 5) (x – 3) (x + 5) (x2 – 13)6 (x6 – 4x5 – 15x4 + 48x3 + 67x2 – 108x – 53)2 (x6 + 4x5 – 15x4 – 48x3 + 67x2 + 108x – 53)2 (x6 + 8x5 + 5x4 – 72x3 – 85x2 + 128x + 79)2 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 13 | 4 | 2 | D52; C26xC2 | (x – 13) (x – 5) (x – 3)2 (x2 – 13)6 (x6 – 4x5 – 15x4 + 48x3 + 67x2 – 108x – 53)2 (x6 + 8x5 + 5x4 – 72x3 – 85x2 + 128x + 79)4 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 13 | 4 | 2 | D52; C26xC2 | (x – 13) (x – 5) (x + 5)2 (x2 – 13)6 (x6 – 4x5 – 15x4 + 48x3 + 67x2 – 108x – 53)2 (x6 + 4x5 – 15x4 – 48x3 + 67x2 + 108x – 53)4 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 13 | 4 | 2 | D52; C26xC2 | (x – 13) (x – 3) (x + 3) (x + 5) (x2 – 13)6 (x6 – 8x5 + 5x4 + 72x3 – 85x2 – 128x + 79)2 (x6 + 4x5 – 15x4 – 48x3 + 67x2 + 108x – 53)2 (x6 + 8x5 + 5x4 – 72x3 – 85x2 + 128x + 79)2 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 13 | 4 | 2 | D52; C26xC2 | (x – 13) (x – 3) (x + 3) (x + 5) (x2 – 13)6 (x6 – 8x5 + 5x4 + 72x3 – 85x2 – 128x + 79)2 (x6 + 4x5 – 15x4 – 48x3 + 67x2 + 108x – 53)2 (x6 + 8x5 + 5x4 – 72x3 – 85x2 + 128x + 79)2 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 13 | 4 | 2 | D52; C26xC2 | (x – 13) (x + 3) (x – 3)2 (x2 – 13)6 (x6 – 8x5 + 5x4 + 72x3 – 85x2 – 128x + 79)2 (x6 + 8x5 + 5x4 – 72x3 – 85x2 + 128x + 79)4 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 13 | 4 | 2 | D52; C26xC2 | (x – 13) (x + 3) (x + 5)2 (x2 – 13)6 (x6 – 8x5 + 5x4 + 72x3 – 85x2 – 128x + 79)2 (x6 + 4x5 – 15x4 – 48x3 + 67x2 + 108x – 53)4 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 15 | 11 | 2 | C13:C4{1}; C52; C13:C4{2}; D52; C26xC2 | (x – 15) (x – 11)3 (x – 2)12 (x + 2)36 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 27 | 26 | 2 | C13:C4{1}; C52; C13:C4{2}; D52; C26xC2 | (x – 27) (x + 25) (x – 1)24 (x + 1)26 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 37 | 33 | 24 | C13:C4{1}; C52; C13:C4{2}; D52; C26xC2 | (x – 37) (x + 11) (x – 11)2 (x – 2)12 (x + 2)36 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 39 | 30 | 28 | D52; C26xC2 | (x – 39) (x – 3) (x + 5)2 (x2 – 13)6 (x6 + 8x5 + 5x4 – 72x3 – 85x2 + 128x + 79)2 (x6 + 4x5 – 15x4 – 48x3 + 67x2 + 108x – 53)4 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 39 | 30 | 28 | D52; C26xC2 | (x – 39) (x + 5)3 (x2 – 13)6 (x6 + 4x5 – 15x4 – 48x3 + 67x2 + 108x – 53)6 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 39 | 30 | 28 | D52; C26xC2 | (x – 39) (x + 5) (x – 3)2 (x2 – 13)6 (x6 + 4x5 – 15x4 – 48x3 + 67x2 + 108x – 53)2 (x6 + 8x5 + 5x4 – 72x3 – 85x2 + 128x + 79)4 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 39 | 30 | 28 | D52; C26xC2 | (x – 39) (x – 3)3 (x2 – 13)6 (x6 + 8x5 + 5x4 – 72x3 – 85x2 + 128x + 79)6 | view download | raw gap magma sage | raw gap magma sage | view download |
52 | 49 | 48 | 46 | C13:C4{1}; C52; C13:C4{2}; D52; C26xC2 | (x – 49) (x + 3)12 (x – 1)13 (x + 1)26 | view download | raw gap magma sage | raw gap magma sage | view download |