# Extensions 1→N→G→Q→1 with N=C22×D4 and Q=C2

Direct product G=N×Q with N=C22×D4 and Q=C2
dρLabelID
D4×C2332D4xC2^364,261

Semidirect products G=N:Q with N=C22×D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×D4)⋊1C2 = C232D4φ: C2/C1C2 ⊆ Out C22×D432(C2^2xD4):1C264,73
(C22×D4)⋊2C2 = C22⋊D8φ: C2/C1C2 ⊆ Out C22×D416(C2^2xD4):2C264,128
(C22×D4)⋊3C2 = C2×C22≀C2φ: C2/C1C2 ⊆ Out C22×D416(C2^2xD4):3C264,202
(C22×D4)⋊4C2 = C2×C4⋊D4φ: C2/C1C2 ⊆ Out C22×D432(C2^2xD4):4C264,203
(C22×D4)⋊5C2 = C2×C41D4φ: C2/C1C2 ⊆ Out C22×D432(C2^2xD4):5C264,211
(C22×D4)⋊6C2 = C233D4φ: C2/C1C2 ⊆ Out C22×D416(C2^2xD4):6C264,215
(C22×D4)⋊7C2 = C22.29C24φ: C2/C1C2 ⊆ Out C22×D416(C2^2xD4):7C264,216
(C22×D4)⋊8C2 = D42φ: C2/C1C2 ⊆ Out C22×D416(C2^2xD4):8C264,226
(C22×D4)⋊9C2 = D45D4φ: C2/C1C2 ⊆ Out C22×D416(C2^2xD4):9C264,227
(C22×D4)⋊10C2 = C22×D8φ: C2/C1C2 ⊆ Out C22×D432(C2^2xD4):10C264,250
(C22×D4)⋊11C2 = C2×C8⋊C22φ: C2/C1C2 ⊆ Out C22×D416(C2^2xD4):11C264,254
(C22×D4)⋊12C2 = C2×2+ 1+4φ: C2/C1C2 ⊆ Out C22×D416(C2^2xD4):12C264,264
(C22×D4)⋊13C2 = C22×C4○D4φ: trivial image32(C2^2xD4):13C264,263

Non-split extensions G=N.Q with N=C22×D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×D4).1C2 = C23.23D4φ: C2/C1C2 ⊆ Out C22×D432(C2^2xD4).1C264,67
(C22×D4).2C2 = C24.3C22φ: C2/C1C2 ⊆ Out C22×D432(C2^2xD4).2C264,71
(C22×D4).3C2 = C23.10D4φ: C2/C1C2 ⊆ Out C22×D432(C2^2xD4).3C264,75
(C22×D4).4C2 = C2×C23⋊C4φ: C2/C1C2 ⊆ Out C22×D416(C2^2xD4).4C264,90
(C22×D4).5C2 = C2×C4.D4φ: C2/C1C2 ⊆ Out C22×D416(C2^2xD4).5C264,92
(C22×D4).6C2 = C2×D4⋊C4φ: C2/C1C2 ⊆ Out C22×D432(C2^2xD4).6C264,95
(C22×D4).7C2 = C23.37D4φ: C2/C1C2 ⊆ Out C22×D416(C2^2xD4).7C264,99
(C22×D4).8C2 = C22⋊SD16φ: C2/C1C2 ⊆ Out C22×D416(C2^2xD4).8C264,131
(C22×D4).9C2 = C22.11C24φ: C2/C1C2 ⊆ Out C22×D416(C2^2xD4).9C264,199
(C22×D4).10C2 = C2×C22.D4φ: C2/C1C2 ⊆ Out C22×D432(C2^2xD4).10C264,205
(C22×D4).11C2 = C2×C4.4D4φ: C2/C1C2 ⊆ Out C22×D432(C2^2xD4).11C264,207
(C22×D4).12C2 = C22×SD16φ: C2/C1C2 ⊆ Out C22×D432(C2^2xD4).12C264,251
(C22×D4).13C2 = C2×C4×D4φ: trivial image32(C2^2xD4).13C264,196

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