Extensions 1→N→G→Q→1 with N=C3×C4○D4 and Q=C2

Direct product G=N×Q with N=C3×C4○D4 and Q=C2
dρLabelID
C6×C4○D448C6xC4oD496,223

Semidirect products G=N:Q with N=C3×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4○D4)⋊1C2 = D4⋊D6φ: C2/C1C2 ⊆ Out C3×C4○D4244+(C3xC4oD4):1C296,156
(C3×C4○D4)⋊2C2 = Q8.13D6φ: C2/C1C2 ⊆ Out C3×C4○D4484(C3xC4oD4):2C296,157
(C3×C4○D4)⋊3C2 = S3×C4○D4φ: C2/C1C2 ⊆ Out C3×C4○D4244(C3xC4oD4):3C296,215
(C3×C4○D4)⋊4C2 = D4○D12φ: C2/C1C2 ⊆ Out C3×C4○D4244+(C3xC4oD4):4C296,216
(C3×C4○D4)⋊5C2 = Q8○D12φ: C2/C1C2 ⊆ Out C3×C4○D4484-(C3xC4oD4):5C296,217
(C3×C4○D4)⋊6C2 = C3×C4○D8φ: C2/C1C2 ⊆ Out C3×C4○D4482(C3xC4oD4):6C296,182
(C3×C4○D4)⋊7C2 = C3×C8⋊C22φ: C2/C1C2 ⊆ Out C3×C4○D4244(C3xC4oD4):7C296,183
(C3×C4○D4)⋊8C2 = C3×2+ 1+4φ: C2/C1C2 ⊆ Out C3×C4○D4244(C3xC4oD4):8C296,224
(C3×C4○D4)⋊9C2 = C3×2- 1+4φ: C2/C1C2 ⊆ Out C3×C4○D4484(C3xC4oD4):9C296,225

Non-split extensions G=N.Q with N=C3×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4○D4).1C2 = Q83Dic3φ: C2/C1C2 ⊆ Out C3×C4○D4244(C3xC4oD4).1C296,44
(C3×C4○D4).2C2 = D4.Dic3φ: C2/C1C2 ⊆ Out C3×C4○D4484(C3xC4oD4).2C296,155
(C3×C4○D4).3C2 = Q8.14D6φ: C2/C1C2 ⊆ Out C3×C4○D4484-(C3xC4oD4).3C296,158
(C3×C4○D4).4C2 = C3×C4≀C2φ: C2/C1C2 ⊆ Out C3×C4○D4242(C3xC4oD4).4C296,54
(C3×C4○D4).5C2 = C3×C8.C22φ: C2/C1C2 ⊆ Out C3×C4○D4484(C3xC4oD4).5C296,184
(C3×C4○D4).6C2 = C3×C8○D4φ: trivial image482(C3xC4oD4).6C296,178

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