# Extensions 1→N→G→Q→1 with N=C22 and Q=C2×Q8

Direct product G=N×Q with N=C22 and Q=C2×Q8
dρLabelID
Q8×C2364Q8xC2^364,262

Semidirect products G=N:Q with N=C22 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C221(C2×Q8) = C2×C22⋊Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C2232C2^2:1(C2xQ8)64,204
C222(C2×Q8) = D4×Q8φ: C2×Q8/Q8C2 ⊆ Aut C2232C2^2:2(C2xQ8)64,230

Non-split extensions G=N.Q with N=C22 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C22.1(C2×Q8) = C2×C8.C4φ: C2×Q8/C2×C4C2 ⊆ Aut C2232C2^2.1(C2xQ8)64,110
C22.2(C2×Q8) = M4(2).C4φ: C2×Q8/C2×C4C2 ⊆ Aut C22164C2^2.2(C2xQ8)64,111
C22.3(C2×Q8) = C23.37C23φ: C2×Q8/C2×C4C2 ⊆ Aut C2232C2^2.3(C2xQ8)64,214
C22.4(C2×Q8) = C232Q8φ: C2×Q8/C2×C4C2 ⊆ Aut C2216C2^2.4(C2xQ8)64,224
C22.5(C2×Q8) = C23.41C23φ: C2×Q8/C2×C4C2 ⊆ Aut C2232C2^2.5(C2xQ8)64,225
C22.6(C2×Q8) = D43Q8φ: C2×Q8/Q8C2 ⊆ Aut C2232C2^2.6(C2xQ8)64,235
C22.7(C2×Q8) = C2×C2.C42central extension (φ=1)64C2^2.7(C2xQ8)64,56
C22.8(C2×Q8) = C4×C4⋊C4central extension (φ=1)64C2^2.8(C2xQ8)64,59
C22.9(C2×Q8) = C23.7Q8central extension (φ=1)32C2^2.9(C2xQ8)64,61
C22.10(C2×Q8) = C428C4central extension (φ=1)64C2^2.10(C2xQ8)64,63
C22.11(C2×Q8) = C429C4central extension (φ=1)64C2^2.11(C2xQ8)64,65
C22.12(C2×Q8) = C23.8Q8central extension (φ=1)32C2^2.12(C2xQ8)64,66
C22.13(C2×Q8) = C23.63C23central extension (φ=1)64C2^2.13(C2xQ8)64,68
C22.14(C2×Q8) = C23.65C23central extension (φ=1)64C2^2.14(C2xQ8)64,70
C22.15(C2×Q8) = C23.67C23central extension (φ=1)64C2^2.15(C2xQ8)64,72
C22.16(C2×Q8) = C22×C4⋊C4central extension (φ=1)64C2^2.16(C2xQ8)64,194
C22.17(C2×Q8) = C2×C4×Q8central extension (φ=1)64C2^2.17(C2xQ8)64,197
C22.18(C2×Q8) = C2×C42.C2central extension (φ=1)64C2^2.18(C2xQ8)64,208
C22.19(C2×Q8) = C2×C4⋊Q8central extension (φ=1)64C2^2.19(C2xQ8)64,212
C22.20(C2×Q8) = C23⋊Q8central stem extension (φ=1)32C2^2.20(C2xQ8)64,74
C22.21(C2×Q8) = C23.78C23central stem extension (φ=1)64C2^2.21(C2xQ8)64,76
C22.22(C2×Q8) = C23.Q8central stem extension (φ=1)32C2^2.22(C2xQ8)64,77
C22.23(C2×Q8) = C23.81C23central stem extension (φ=1)64C2^2.23(C2xQ8)64,79
C22.24(C2×Q8) = C23.4Q8central stem extension (φ=1)32C2^2.24(C2xQ8)64,80
C22.25(C2×Q8) = C23.83C23central stem extension (φ=1)64C2^2.25(C2xQ8)64,81

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