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Extensions 1→N→G→Q→1 with N=C22×C12 and Q=C2

Direct product G=N×Q with N=C22×C12 and Q=C2
dρLabelID
C23×C1296C2^3xC1296,220

Semidirect products G=N:Q with N=C22×C12 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C12)⋊1C2 = C2×D6⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12):1C296,134
(C22×C12)⋊2C2 = C23.28D6φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12):2C296,136
(C22×C12)⋊3C2 = C6×C22⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12):3C296,162
(C22×C12)⋊4C2 = D4×C12φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12):4C296,165
(C22×C12)⋊5C2 = C3×C22.D4φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12):5C296,170
(C22×C12)⋊6C2 = C12⋊7D4φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12):6C296,137
(C22×C12)⋊7C2 = C22×D12φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12):7C296,207
(C22×C12)⋊8C2 = C2×C4○D12φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12):8C296,208
(C22×C12)⋊9C2 = C4×C3⋊D4φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12):9C296,135
(C22×C12)⋊10C2 = S3×C22×C4φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12):10C296,206
(C22×C12)⋊11C2 = C3×C4⋊D4φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12):11C296,168
(C22×C12)⋊12C2 = D4×C2×C6φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12):12C296,221
(C22×C12)⋊13C2 = C6×C4○D4φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12):13C296,223

Non-split extensions G=N.Q with N=C22×C12 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C22×C12).1C2 = C6.C42φ: C2/C1 → C2 ⊆ Aut C22×C1296(C2^2xC12).1C296,38
(C22×C12).2C2 = C3×C2.C42φ: C2/C1 → C2 ⊆ Aut C22×C1296(C2^2xC12).2C296,45
(C22×C12).3C2 = C3×C22⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12).3C296,48
(C22×C12).4C2 = C2×Dic3⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C1296(C2^2xC12).4C296,130
(C22×C12).5C2 = C6×C4⋊C4φ: C2/C1 → C2 ⊆ Aut C22×C1296(C2^2xC12).5C296,163
(C22×C12).6C2 = C12.48D4φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12).6C296,131
(C22×C12).7C2 = C2×C4⋊Dic3φ: C2/C1 → C2 ⊆ Aut C22×C1296(C2^2xC12).7C296,132
(C22×C12).8C2 = C22×Dic6φ: C2/C1 → C2 ⊆ Aut C22×C1296(C2^2xC12).8C296,205
(C22×C12).9C2 = C2×C4.Dic3φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12).9C296,128
(C22×C12).10C2 = C23.26D6φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12).10C296,133
(C22×C12).11C2 = C12.55D4φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12).11C296,37
(C22×C12).12C2 = C22×C3⋊C8φ: C2/C1 → C2 ⊆ Aut C22×C1296(C2^2xC12).12C296,127
(C22×C12).13C2 = C2×C4×Dic3φ: C2/C1 → C2 ⊆ Aut C22×C1296(C2^2xC12).13C296,129
(C22×C12).14C2 = C3×C42⋊C2φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12).14C296,164
(C22×C12).15C2 = C3×C22⋊Q8φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12).15C296,169
(C22×C12).16C2 = C6×M4(2)φ: C2/C1 → C2 ⊆ Aut C22×C1248(C2^2xC12).16C296,177
(C22×C12).17C2 = Q8×C2×C6φ: C2/C1 → C2 ⊆ Aut C22×C1296(C2^2xC12).17C296,222

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