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Results (34 matches)

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Elements of the group are displayed as permutations of degree 16.

Group Label Order Size Centralizer Powers Representative
2P
$(D_4\times C_2^3).Q_{16}$ 1A $1$ $1$ $(D_4\times C_2^3).Q_{16}$ 1A $()$
$(D_4\times C_2^3).Q_{16}$ 2A $2$ $1$ $(D_4\times C_2^3).Q_{16}$ 1A $(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)$
$(D_4\times C_2^3).Q_{16}$ 2B $2$ $2$ $C_2^5.C_4^2$ 1A $(5,6)(7,8)(9,10)(11,12)$
$(D_4\times C_2^3).Q_{16}$ 2C $2$ $4$ $(C_2\times \OD_{16}):D_4$ 1A $(13,14)(15,16)$
$(D_4\times C_2^3).Q_{16}$ 2D $2$ $4$ $C_2^5.D_4$ 1A $(9,10)(11,12)(13,14)(15,16)$
$(D_4\times C_2^3).Q_{16}$ 2E $2$ $4$ $(C_2\times \OD_{16}):D_4$ 1A $(5,6)(7,8)(9,10)(11,12)(13,14)(15,16)$
$(D_4\times C_2^3).Q_{16}$ 2F $2$ $8$ $C_2^4:Q_8$ 1A $(3,4)(5,6)(9,10)(13,14)$
$(D_4\times C_2^3).Q_{16}$ 2G $2$ $8$ $C_2^4:C_8$ 1A $(3,4)(7,8)(9,10)(13,14)$
$(D_4\times C_2^3).Q_{16}$ 2H $2$ $16$ $C_2^4:C_4$ 1A $(1,4)(2,3)(5,7)(6,8)(9,11)(10,12)(13,16)(14,15)$
$(D_4\times C_2^3).Q_{16}$ 2I $2$ $32$ $C_2^5$ 1A $(3,4)(5,7)(6,8)(9,11)(10,12)(15,16)$
$(D_4\times C_2^3).Q_{16}$ 4A $4$ $8$ $C_2^3.C_4^2$ 2B $(5,7,6,8)(9,11,10,12)(13,14)(15,16)$
$(D_4\times C_2^3).Q_{16}$ 4B $4$ $8$ $C_2^3.C_4^2$ 2B $(1,2)(3,4)(5,7,6,8)(9,11,10,12)(13,14)(15,16)$
$(D_4\times C_2^3).Q_{16}$ 4C $4$ $8$ $C_2^3.C_4^2$ 2B $(5,7,6,8)(9,11,10,12)$
$(D_4\times C_2^3).Q_{16}$ 4D $4$ $8$ $C_2^3.C_4^2$ 2B $(5,7,6,8)(9,12,10,11)(13,14)(15,16)$
$(D_4\times C_2^3).Q_{16}$ 4E $4$ $16$ $C_2^2\times C_4^2$ 2A $(1,3,2,4)(5,7,6,8)(9,11,10,12)(13,15,14,16)$
$(D_4\times C_2^3).Q_{16}$ 4F1 $4$ $32$ $C_2^2:C_8$ 2G $(1,16)(2,15)(3,14,4,13)(5,11)(6,12)(7,9,8,10)$
$(D_4\times C_2^3).Q_{16}$ 4F-1 $4$ $32$ $C_2^2:C_8$ 2G $(1,16)(2,15)(3,13,4,14)(5,11)(6,12)(7,10,8,9)$
$(D_4\times C_2^3).Q_{16}$ 4G $4$ $64$ $C_2^2\times C_4$ 2F $(1,15)(2,16)(3,14,4,13)(5,10,6,9)(7,12)(8,11)$
$(D_4\times C_2^3).Q_{16}$ 4H $4$ $64$ $C_2^2\times C_4$ 2F $(1,10)(2,9)(3,11,4,12)(5,16,6,15)(7,13)(8,14)$
$(D_4\times C_2^3).Q_{16}$ 4I $4$ $64$ $C_2^2\times C_4$ 2F $(1,8,2,7)(3,6)(4,5)(9,14,10,13)(11,15)(12,16)$
$(D_4\times C_2^3).Q_{16}$ 4J1 $4$ $64$ $C_2^2\times C_4$ 2H $(1,5,4,7)(2,6,3,8)(9,14,11,15)(10,13,12,16)$
$(D_4\times C_2^3).Q_{16}$ 4J-1 $4$ $64$ $C_2^2\times C_4$ 2H $(1,7,4,5)(2,8,3,6)(9,15,11,14)(10,16,12,13)$
$(D_4\times C_2^3).Q_{16}$ 8A1 $8$ $32$ $C_2^2\times C_8$ 4C $(5,9,7,11,6,10,8,12)(13,15)(14,16)$
$(D_4\times C_2^3).Q_{16}$ 8A-1 $8$ $32$ $C_2^2\times C_8$ 4C $(5,11,7,10,6,12,8,9)(13,15)(14,16)$
$(D_4\times C_2^3).Q_{16}$ 8B1 $8$ $32$ $C_2^2\times C_8$ 4D $(3,4)(5,9,7,12,6,10,8,11)(13,15,14,16)$
$(D_4\times C_2^3).Q_{16}$ 8B-1 $8$ $32$ $C_2^2\times C_8$ 4D $(3,4)(5,11,8,10,6,12,7,9)(13,16,14,15)$
$(D_4\times C_2^3).Q_{16}$ 8C1 $8$ $32$ $C_2^2\times C_8$ 4D $(3,4)(5,9,7,12,6,10,8,11)(13,16,14,15)$
$(D_4\times C_2^3).Q_{16}$ 8C-1 $8$ $32$ $C_2^2\times C_8$ 4D $(3,4)(5,11,8,10,6,12,7,9)(13,15,14,16)$
$(D_4\times C_2^3).Q_{16}$ 8D1 $8$ $32$ $C_2^2\times C_8$ 4C $(1,2)(3,4)(5,9,7,11,6,10,8,12)(13,15)(14,16)$
$(D_4\times C_2^3).Q_{16}$ 8D-1 $8$ $32$ $C_2^2\times C_8$ 4C $(1,2)(3,4)(5,11,7,10,6,12,8,9)(13,15)(14,16)$
$(D_4\times C_2^3).Q_{16}$ 8E1 $8$ $64$ $C_2\times C_8$ 4F1 $(1,11,16,5)(2,12,15,6)(3,9,14,8,4,10,13,7)$
$(D_4\times C_2^3).Q_{16}$ 8E-1 $8$ $64$ $C_2\times C_8$ 4F-1 $(1,5,16,11)(2,6,15,12)(3,7,13,10,4,8,14,9)$
$(D_4\times C_2^3).Q_{16}$ 8E3 $8$ $64$ $C_2\times C_8$ 4F-1 $(1,5,16,11)(2,6,15,12)(3,8,13,9,4,7,14,10)$
$(D_4\times C_2^3).Q_{16}$ 8E-3 $8$ $64$ $C_2\times C_8$ 4F1 $(1,11,16,5)(2,12,15,6)(3,10,14,7,4,9,13,8)$
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