v | k | b | a | groups | characteristic polynomial | generating sets | matrix | download | WL-closure |
---|---|---|---|---|---|---|---|---|---|
16 | 5 | 2 | 1 | QD16 | (x – 5) (x + 3) (x + 1)2 (x2 – 5)2 (x2 – 3)4 | view download | raw gap magma sage | raw gap magma sage | view download |
16 | 7 | 4 | 2 | C4xC4; C8:C2; QD16; C2xD8 | (x – 7) (x – 3)2 (x – 1)4 (x + 3)4 (x + 1)5 | view download | raw gap magma sage | raw gap magma sage | view download |
16 | 7 | 4 | 2 | C4xC4; (C4xC2):C2{1}; C4:C4; C8:C2; QD16; C4xC2xC2; C2xD8; C2xC2xC2xC2 | (x – 7) (x – 3)2 (x – 1)4 (x + 3)4 (x + 1)5 | view download | raw gap magma sage | raw gap magma sage | view download |
16 | 9 | 8 | 2 | C16; C4xC4; (C4xC2):C2{1}; C4:C4; C8xC2; C8:C2; D16; QD16; Q16; C4xC2xC2; C2xD8; C2xQ8; (C4xC2):C2{2}; C2xC2xC2xC2 | (x – 9) (x + 7) (x – 1)6 (x + 1)8 | view download | raw gap magma sage | raw gap magma sage | view download |
16 | 11 | 8 | 6 | C4xC4; (C4xC2):C2{1}; C4:C4; C8:C2; QD16; C4xC2xC2; C2xD8; C2xC2xC2xC2 | (x – 11) (x – 3) (x – 1)4 (x + 3)4 (x + 1)6 | view download | raw gap magma sage | raw gap magma sage | view download |
16 | 12 | 10 | 8 | C4xC4; (C4xC2):C2{1}; C4:C4; C8xC2; C8:C2; D16; QD16; C4xC2xC2; C2xD8; C2xQ8; (C4xC2):C2{2}; C2xC2xC2xC2 | (x – 12) (x + 4) (x – 2)2 x6 (x + 2)6 | view download | raw gap magma sage | raw gap magma sage | view download |
16 | 13 | 12 | 10 | C16; C4xC4; (C4xC2):C2{1}; C4:C4; C8xC2; C8:C2; D16; QD16; Q16; C4xC2xC2; C2xD8; C2xQ8; (C4xC2):C2{2}; C2xC2xC2xC2 | (x – 13) (x + 3)3 (x – 1)4 (x + 1)8 | view download | raw gap magma sage | raw gap magma sage | view download |