# Extensions 1→N→G→Q→1 with N=C2×Q8 and Q=D9

Direct product G=N×Q with N=C2×Q8 and Q=D9
dρLabelID
C2×Q8×D9144C2xQ8xD9288,359

Semidirect products G=N:Q with N=C2×Q8 and Q=D9
extensionφ:Q→Out NdρLabelID
(C2×Q8)⋊1D9 = C2×Q8⋊D9φ: D9/C3S3 ⊆ Out C2×Q8144(C2xQ8):1D9288,336
(C2×Q8)⋊2D9 = Q8.D18φ: D9/C3S3 ⊆ Out C2×Q81444(C2xQ8):2D9288,337
(C2×Q8)⋊3D9 = C2×Q82D9φ: D9/C9C2 ⊆ Out C2×Q8144(C2xQ8):3D9288,152
(C2×Q8)⋊4D9 = C36.C23φ: D9/C9C2 ⊆ Out C2×Q81444(C2xQ8):4D9288,153
(C2×Q8)⋊5D9 = D183Q8φ: D9/C9C2 ⊆ Out C2×Q8144(C2xQ8):5D9288,156
(C2×Q8)⋊6D9 = C36.23D4φ: D9/C9C2 ⊆ Out C2×Q8144(C2xQ8):6D9288,157
(C2×Q8)⋊7D9 = Q8.15D18φ: D9/C9C2 ⊆ Out C2×Q81444(C2xQ8):7D9288,361
(C2×Q8)⋊8D9 = C2×Q83D9φ: trivial image144(C2xQ8):8D9288,360

Non-split extensions G=N.Q with N=C2×Q8 and Q=D9
extensionφ:Q→Out NdρLabelID
(C2×Q8).1D9 = Q8⋊Dic9φ: D9/C3S3 ⊆ Out C2×Q8288(C2xQ8).1D9288,69
(C2×Q8).2D9 = C2×Q8.D9φ: D9/C3S3 ⊆ Out C2×Q8288(C2xQ8).2D9288,335
(C2×Q8).3D9 = C36.9D4φ: D9/C9C2 ⊆ Out C2×Q81444(C2xQ8).3D9288,42
(C2×Q8).4D9 = Q82Dic9φ: D9/C9C2 ⊆ Out C2×Q8288(C2xQ8).4D9288,43
(C2×Q8).5D9 = C2×C9⋊Q16φ: D9/C9C2 ⊆ Out C2×Q8288(C2xQ8).5D9288,151
(C2×Q8).6D9 = Dic9⋊Q8φ: D9/C9C2 ⊆ Out C2×Q8288(C2xQ8).6D9288,154
(C2×Q8).7D9 = Q8×Dic9φ: trivial image288(C2xQ8).7D9288,155

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