# Extensions 1→N→G→Q→1 with N=S3×C2×C4 and Q=C2

Direct product G=N×Q with N=S3×C2×C4 and Q=C2
dρLabelID
S3×C22×C448S3xC2^2xC496,206

Semidirect products G=N:Q with N=S3×C2×C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C2×C4)⋊1C2 = C12⋊D4φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4):1C296,102
(S3×C2×C4)⋊2C2 = D63D4φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4):2C296,145
(S3×C2×C4)⋊3C2 = C2×S3×D4φ: C2/C1C2 ⊆ Out S3×C2×C424(S3xC2xC4):3C296,209
(S3×C2×C4)⋊4C2 = C2×D42S3φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4):4C296,210
(S3×C2×C4)⋊5C2 = C2×Q83S3φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4):5C296,213
(S3×C2×C4)⋊6C2 = S3×C4○D4φ: C2/C1C2 ⊆ Out S3×C2×C4244(S3xC2xC4):6C296,215
(S3×C2×C4)⋊7C2 = C4×D12φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4):7C296,80
(S3×C2×C4)⋊8C2 = S3×C22⋊C4φ: C2/C1C2 ⊆ Out S3×C2×C424(S3xC2xC4):8C296,87
(S3×C2×C4)⋊9C2 = Dic34D4φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4):9C296,88
(S3×C2×C4)⋊10C2 = C23.9D6φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4):10C296,90
(S3×C2×C4)⋊11C2 = Dic3⋊D4φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4):11C296,91
(S3×C2×C4)⋊12C2 = Dic35D4φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4):12C296,100
(S3×C2×C4)⋊13C2 = D6.D4φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4):13C296,101
(S3×C2×C4)⋊14C2 = C4×C3⋊D4φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4):14C296,135
(S3×C2×C4)⋊15C2 = C2×C4○D12φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4):15C296,208

Non-split extensions G=N.Q with N=S3×C2×C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C2×C4).1C2 = S3×C4⋊C4φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4).1C296,98
(S3×C2×C4).2C2 = C4⋊C47S3φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4).2C296,99
(S3×C2×C4).3C2 = C4.D12φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4).3C296,104
(S3×C2×C4).4C2 = S3×M4(2)φ: C2/C1C2 ⊆ Out S3×C2×C4244(S3xC2xC4).4C296,113
(S3×C2×C4).5C2 = D63Q8φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4).5C296,153
(S3×C2×C4).6C2 = C2×S3×Q8φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4).6C296,212
(S3×C2×C4).7C2 = D6⋊C8φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4).7C296,27
(S3×C2×C4).8C2 = C422S3φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4).8C296,79
(S3×C2×C4).9C2 = D6⋊Q8φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4).9C296,103
(S3×C2×C4).10C2 = C2×C8⋊S3φ: C2/C1C2 ⊆ Out S3×C2×C448(S3xC2xC4).10C296,107
(S3×C2×C4).11C2 = S3×C42φ: trivial image48(S3xC2xC4).11C296,78
(S3×C2×C4).12C2 = S3×C2×C8φ: trivial image48(S3xC2xC4).12C296,106

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