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

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

Semidirect products G=N:Q with N=C22×Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×Q8)⋊1C2 = C23⋊Q8φ: C2/C1C2 ⊆ Out C22×Q832(C2^2xQ8):1C264,74
(C22×Q8)⋊2C2 = Q8⋊D4φ: C2/C1C2 ⊆ Out C22×Q832(C2^2xQ8):2C264,129
(C22×Q8)⋊3C2 = C2×C22⋊Q8φ: C2/C1C2 ⊆ Out C22×Q832(C2^2xQ8):3C264,204
(C22×Q8)⋊4C2 = C2×C4.4D4φ: C2/C1C2 ⊆ Out C22×Q832(C2^2xQ8):4C264,207
(C22×Q8)⋊5C2 = C23.38C23φ: C2/C1C2 ⊆ Out C22×Q832(C2^2xQ8):5C264,217
(C22×Q8)⋊6C2 = Q85D4φ: C2/C1C2 ⊆ Out C22×Q832(C2^2xQ8):6C264,229
(C22×Q8)⋊7C2 = D4×Q8φ: C2/C1C2 ⊆ Out C22×Q832(C2^2xQ8):7C264,230
(C22×Q8)⋊8C2 = C22×SD16φ: C2/C1C2 ⊆ Out C22×Q832(C2^2xQ8):8C264,251
(C22×Q8)⋊9C2 = C2×C8.C22φ: C2/C1C2 ⊆ Out C22×Q832(C2^2xQ8):9C264,255
(C22×Q8)⋊10C2 = C2×2- 1+4φ: C2/C1C2 ⊆ Out C22×Q832(C2^2xQ8):10C264,265
(C22×Q8)⋊11C2 = C22×C4○D4φ: trivial image32(C2^2xQ8):11C264,263

Non-split extensions G=N.Q with N=C22×Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×Q8).1C2 = C23.67C23φ: C2/C1C2 ⊆ Out C22×Q864(C2^2xQ8).1C264,72
(C22×Q8).2C2 = C23.78C23φ: C2/C1C2 ⊆ Out C22×Q864(C2^2xQ8).2C264,76
(C22×Q8).3C2 = C2×C4.10D4φ: C2/C1C2 ⊆ Out C22×Q832(C2^2xQ8).3C264,93
(C22×Q8).4C2 = C2×Q8⋊C4φ: C2/C1C2 ⊆ Out C22×Q864(C2^2xQ8).4C264,96
(C22×Q8).5C2 = C23.38D4φ: C2/C1C2 ⊆ Out C22×Q832(C2^2xQ8).5C264,100
(C22×Q8).6C2 = C22⋊Q16φ: C2/C1C2 ⊆ Out C22×Q832(C2^2xQ8).6C264,132
(C22×Q8).7C2 = C23.32C23φ: C2/C1C2 ⊆ Out C22×Q832(C2^2xQ8).7C264,200
(C22×Q8).8C2 = C2×C4⋊Q8φ: C2/C1C2 ⊆ Out C22×Q864(C2^2xQ8).8C264,212
(C22×Q8).9C2 = C22×Q16φ: C2/C1C2 ⊆ Out C22×Q864(C2^2xQ8).9C264,252
(C22×Q8).10C2 = C2×C4×Q8φ: trivial image64(C2^2xQ8).10C264,197

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