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

Direct product G=N×Q with N=C2×C4○D4 and Q=C2
dρLabelID
C22×C4○D432C2^2xC4oD464,263

Semidirect products G=N:Q with N=C2×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4○D4)⋊1C2 = D4⋊D4φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4):1C264,130
(C2×C4○D4)⋊2C2 = C22.19C24φ: C2/C1 → C2 ⊆ Out C2×C4○D416(C2xC4oD4):2C264,206
(C2×C4○D4)⋊3C2 = C22.26C24φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4):3C264,213
(C2×C4○D4)⋊4C2 = C22.29C24φ: C2/C1 → C2 ⊆ Out C2×C4○D416(C2xC4oD4):4C264,216
(C2×C4○D4)⋊5C2 = C22.31C24φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4):5C264,218
(C2×C4○D4)⋊6C2 = D4⋊5D4φ: C2/C1 → C2 ⊆ Out C2×C4○D416(C2xC4oD4):6C264,227
(C2×C4○D4)⋊7C2 = D4⋊6D4φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4):7C264,228
(C2×C4○D4)⋊8C2 = Q8⋊5D4φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4):8C264,229
(C2×C4○D4)⋊9C2 = Q8⋊6D4φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4):9C264,231
(C2×C4○D4)⋊10C2 = C2×C4○D8φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4):10C264,253
(C2×C4○D4)⋊11C2 = C2×C8⋊C22φ: C2/C1 → C2 ⊆ Out C2×C4○D416(C2xC4oD4):11C264,254
(C2×C4○D4)⋊12C2 = D8⋊C22φ: C2/C1 → C2 ⊆ Out C2×C4○D4164(C2xC4oD4):12C264,256
(C2×C4○D4)⋊13C2 = C2×2+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C4○D416(C2xC4oD4):13C264,264
(C2×C4○D4)⋊14C2 = C2×2- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4):14C264,265
(C2×C4○D4)⋊15C2 = C2.C25φ: C2/C1 → C2 ⊆ Out C2×C4○D4164(C2xC4oD4):15C264,266

Non-split extensions G=N.Q with N=C2×C4○D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4○D4).1C2 = (C22×C8)⋊C2φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4).1C264,89
(C2×C4○D4).2C2 = C23.C23φ: C2/C1 → C2 ⊆ Out C2×C4○D4164(C2xC4oD4).2C264,91
(C2×C4○D4).3C2 = M4(2).8C22φ: C2/C1 → C2 ⊆ Out C2×C4○D4164(C2xC4oD4).3C264,94
(C2×C4○D4).4C2 = C23.24D4φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4).4C264,97
(C2×C4○D4).5C2 = C23.36D4φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4).5C264,98
(C2×C4○D4).6C2 = C2×C4≀C2φ: C2/C1 → C2 ⊆ Out C2×C4○D416(C2xC4oD4).6C264,101
(C2×C4○D4).7C2 = C42⋊C22φ: C2/C1 → C2 ⊆ Out C2×C4○D4164(C2xC4oD4).7C264,102
(C2×C4○D4).8C2 = D4.7D4φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4).8C264,133
(C2×C4○D4).9C2 = C23.33C23φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4).9C264,201
(C2×C4○D4).10C2 = C23.38C23φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4).10C264,217
(C2×C4○D4).11C2 = Q8○M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4○D4164(C2xC4oD4).11C264,249
(C2×C4○D4).12C2 = C2×C8.C22φ: C2/C1 → C2 ⊆ Out C2×C4○D432(C2xC4oD4).12C264,255
(C2×C4○D4).13C2 = C4×C4○D4φ: trivial image32(C2xC4oD4).13C264,198
(C2×C4○D4).14C2 = C2×C8○D4φ: trivial image32(C2xC4oD4).14C264,248

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