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Elements of the group are displayed as permutations of degree 18.

Group Label Order Size Centralizer Powers Representative
2P
$C_2^8.D_4$ 1A $1$ $1$ not computed 1A $()$
$C_2^8.D_4$ 2A $2$ $1$ not computed 1A $(13,17)$
$C_2^8.D_4$ 2B $2$ $1$ not computed 1A $(4,11)(6,12)(8,14)(10,16)(13,17)$
$C_2^8.D_4$ 2C $2$ $1$ not computed 1A $(1,2)(3,18)(5,9)(7,15)(13,17)$
$C_2^8.D_4$ 2D $2$ $1$ not computed 1A $(1,2)(3,18)(4,11)(5,9)(6,12)(7,15)(8,14)(10,16)(13,17)$
$C_2^8.D_4$ 2E $2$ $1$ not computed 1A $(1,7)(2,15)(3,9)(5,18)(13,17)$
$C_2^8.D_4$ 2F $2$ $1$ not computed 1A $(1,7)(2,15)(3,9)(4,11)(5,18)(6,12)(8,14)(10,16)(13,17)$
$C_2^8.D_4$ 2G $2$ $1$ not computed 1A $(1,15)(2,7)(3,5)(9,18)(13,17)$
$C_2^8.D_4$ 2H $2$ $1$ not computed 1A $(1,15)(2,7)(3,5)(4,11)(6,12)(8,14)(9,18)(10,16)(13,17)$
$C_2^8.D_4$ 2I $2$ $1$ not computed 1A $(4,11)(6,12)(8,14)(10,16)$
$C_2^8.D_4$ 2J $2$ $1$ not computed 1A $(1,2)(3,18)(5,9)(7,15)$
$C_2^8.D_4$ 2K $2$ $1$ not computed 1A $(1,2)(3,18)(4,11)(5,9)(6,12)(7,15)(8,14)(10,16)$
$C_2^8.D_4$ 2L $2$ $1$ not computed 1A $(1,7)(2,15)(3,9)(5,18)$
$C_2^8.D_4$ 2M $2$ $1$ not computed 1A $(1,7)(2,15)(3,9)(4,11)(5,18)(6,12)(8,14)(10,16)$
$C_2^8.D_4$ 2N $2$ $1$ not computed 1A $(1,15)(2,7)(3,5)(9,18)$
$C_2^8.D_4$ 2O $2$ $1$ not computed 1A $(1,15)(2,7)(3,5)(4,11)(6,12)(8,14)(9,18)(10,16)$
$C_2^8.D_4$ 2P $2$ $2$ not computed 1A $(6,12)(10,16)(13,17)$
$C_2^8.D_4$ 2Q $2$ $2$ not computed 1A $(4,8)(6,10)(11,14)(12,16)(13,17)$
$C_2^8.D_4$ 2R $2$ $2$ not computed 1A $(4,8)(6,16)(10,12)(11,14)(13,17)$
$C_2^8.D_4$ 2S $2$ $2$ not computed 1A $(3,5)(9,18)$
$C_2^8.D_4$ 2T $2$ $2$ not computed 1A $(3,5)(9,18)(13,17)$
$C_2^8.D_4$ 2U $2$ $2$ not computed 1A $(3,5)(4,8)(6,10)(9,18)(11,14)(12,16)$
$C_2^8.D_4$ 2V $2$ $2$ not computed 1A $(3,5)(4,8)(6,10)(9,18)(11,14)(12,16)(13,17)$
$C_2^8.D_4$ 2W $2$ $2$ not computed 1A $(3,5)(4,11)(6,12)(8,14)(9,18)(10,16)$
$C_2^8.D_4$ 2X $2$ $2$ not computed 1A $(3,5)(4,11)(6,12)(8,14)(9,18)(10,16)(13,17)$
$C_2^8.D_4$ 2Y $2$ $2$ not computed 1A $(3,5)(4,14)(6,16)(8,11)(9,18)(10,12)$
$C_2^8.D_4$ 2Z $2$ $2$ not computed 1A $(3,5)(4,14)(6,16)(8,11)(9,18)(10,12)(13,17)$
$C_2^8.D_4$ 2AA $2$ $2$ not computed 1A $(3,9)(5,18)$
$C_2^8.D_4$ 2AB $2$ $2$ not computed 1A $(3,9)(5,18)(13,17)$
$C_2^8.D_4$ 2AC $2$ $2$ not computed 1A $(3,9)(4,8)(5,18)(6,10)(11,14)(12,16)$
$C_2^8.D_4$ 2AD $2$ $2$ not computed 1A $(3,9)(4,8)(5,18)(6,10)(11,14)(12,16)(13,17)$
$C_2^8.D_4$ 2AE $2$ $2$ not computed 1A $(3,9)(4,11)(5,18)(6,12)(8,14)(10,16)$
$C_2^8.D_4$ 2AF $2$ $2$ not computed 1A $(3,9)(4,11)(5,18)(6,12)(8,14)(10,16)(13,17)$
$C_2^8.D_4$ 2AG $2$ $2$ not computed 1A $(3,9)(4,14)(5,18)(6,16)(8,11)(10,12)$
$C_2^8.D_4$ 2AH $2$ $2$ not computed 1A $(3,9)(4,14)(5,18)(6,16)(8,11)(10,12)(13,17)$
$C_2^8.D_4$ 2AI $2$ $2$ not computed 1A $(3,18)(5,9)$
$C_2^8.D_4$ 2AJ $2$ $2$ not computed 1A $(3,18)(5,9)(13,17)$
$C_2^8.D_4$ 2AK $2$ $2$ not computed 1A $(3,18)(4,8)(5,9)(6,10)(11,14)(12,16)$
$C_2^8.D_4$ 2AL $2$ $2$ not computed 1A $(3,18)(4,8)(5,9)(6,10)(11,14)(12,16)(13,17)$
$C_2^8.D_4$ 2AM $2$ $2$ not computed 1A $(3,18)(4,11)(5,9)(6,12)(8,14)(10,16)$
$C_2^8.D_4$ 2AN $2$ $2$ not computed 1A $(3,18)(4,11)(5,9)(6,12)(8,14)(10,16)(13,17)$
$C_2^8.D_4$ 2AO $2$ $2$ not computed 1A $(3,18)(4,14)(5,9)(6,16)(8,11)(10,12)$
$C_2^8.D_4$ 2AP $2$ $2$ not computed 1A $(3,18)(4,14)(5,9)(6,16)(8,11)(10,12)(13,17)$
$C_2^8.D_4$ 2AQ $2$ $2$ not computed 1A $(1,2)(3,5)(7,15)(9,18)$
$C_2^8.D_4$ 2AR $2$ $2$ not computed 1A $(1,2)(3,5)(7,15)(9,18)(13,17)$
$C_2^8.D_4$ 2AS $2$ $2$ not computed 1A $(1,2)(3,5)(4,8)(6,10)(7,15)(9,18)(11,14)(12,16)$
$C_2^8.D_4$ 2AT $2$ $2$ not computed 1A $(1,2)(3,5)(4,8)(6,10)(7,15)(9,18)(11,14)(12,16)(13,17)$
$C_2^8.D_4$ 2AU $2$ $2$ not computed 1A $(1,2)(3,5)(4,11)(6,12)(7,15)(8,14)(9,18)(10,16)$
$C_2^8.D_4$ 2AV $2$ $2$ not computed 1A $(1,2)(3,5)(4,11)(6,12)(7,15)(8,14)(9,18)(10,16)(13,17)$
$C_2^8.D_4$ 2AW $2$ $2$ not computed 1A $(1,2)(3,5)(4,14)(6,16)(7,15)(8,11)(9,18)(10,12)$
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