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Extensions 1→N→G→Q→1 with N=C2×C22⋊C4 and Q=C2

Direct product G=N×Q with N=C2×C22⋊C4 and Q=C2
dρLabelID
C22×C22⋊C432C2^2xC2^2:C464,193

Semidirect products G=N:Q with N=C2×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4)⋊1C2 = C24⋊3C4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C416(C2xC2^2:C4):1C264,60
(C2×C22⋊C4)⋊2C2 = C23.23D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):2C264,67
(C2×C22⋊C4)⋊3C2 = C24.3C22φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):3C264,71
(C2×C22⋊C4)⋊4C2 = C2×C23⋊C4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C416(C2xC2^2:C4):4C264,90
(C2×C22⋊C4)⋊5C2 = C22.11C24φ: C2/C1 → C2 ⊆ Out C2×C22⋊C416(C2xC2^2:C4):5C264,199
(C2×C22⋊C4)⋊6C2 = C23⋊2D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):6C264,73
(C2×C22⋊C4)⋊7C2 = C23.10D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):7C264,75
(C2×C22⋊C4)⋊8C2 = C2×C22≀C2φ: C2/C1 → C2 ⊆ Out C2×C22⋊C416(C2xC2^2:C4):8C264,202
(C2×C22⋊C4)⋊9C2 = C2×C4⋊D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):9C264,203
(C2×C22⋊C4)⋊10C2 = C2×C22.D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):10C264,205
(C2×C22⋊C4)⋊11C2 = C2×C4.4D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4):11C264,207
(C2×C22⋊C4)⋊12C2 = C23⋊3D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C416(C2xC2^2:C4):12C264,215
(C2×C22⋊C4)⋊13C2 = C22.32C24φ: C2/C1 → C2 ⊆ Out C2×C22⋊C416(C2xC2^2:C4):13C264,219
(C2×C22⋊C4)⋊14C2 = D4⋊5D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C416(C2xC2^2:C4):14C264,227
(C2×C22⋊C4)⋊15C2 = C22.45C24φ: C2/C1 → C2 ⊆ Out C2×C22⋊C416(C2xC2^2:C4):15C264,232
(C2×C22⋊C4)⋊16C2 = C2×C4×D4φ: trivial image32(C2xC2^2:C4):16C264,196

Non-split extensions G=N.Q with N=C2×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C4).1C2 = C23⋊C8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C416(C2xC2^2:C4).1C264,4
(C2×C22⋊C4).2C2 = C23.9D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C416(C2xC2^2:C4).2C264,23
(C2×C22⋊C4).3C2 = C23.7Q8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).3C264,61
(C2×C22⋊C4).4C2 = C23.34D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).4C264,62
(C2×C22⋊C4).5C2 = C23.8Q8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).5C264,66
(C2×C22⋊C4).6C2 = C24.C22φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).6C264,69
(C2×C22⋊C4).7C2 = C23⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).7C264,74
(C2×C22⋊C4).8C2 = C23.Q8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).8C264,77
(C2×C22⋊C4).9C2 = C23.11D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).9C264,78
(C2×C22⋊C4).10C2 = C23.4Q8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).10C264,80
(C2×C22⋊C4).11C2 = C2×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).11C264,204
(C2×C22⋊C4).12C2 = C2×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C2×C22⋊C432(C2xC2^2:C4).12C264,209
(C2×C22⋊C4).13C2 = C23⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C416(C2xC2^2:C4).13C264,224
(C2×C22⋊C4).14C2 = C4×C22⋊C4φ: trivial image32(C2xC2^2:C4).14C264,58
(C2×C22⋊C4).15C2 = C2×C42⋊C2φ: trivial image32(C2xC2^2:C4).15C264,195

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