Extensions 1→N→G→Q→1 with N=S3xC2xC4 and Q=C2

Direct product G=NxQ with N=S3xC2xC4 and Q=C2
dρLabelID
S3xC22xC448S3xC2^2xC496,206

Semidirect products G=N:Q with N=S3xC2xC4 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3xC2xC4):1C2 = C12:D4φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4):1C296,102
(S3xC2xC4):2C2 = D6:3D4φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4):2C296,145
(S3xC2xC4):3C2 = C2xS3xD4φ: C2/C1C2 ⊆ Out S3xC2xC424(S3xC2xC4):3C296,209
(S3xC2xC4):4C2 = C2xD4:2S3φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4):4C296,210
(S3xC2xC4):5C2 = C2xQ8:3S3φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4):5C296,213
(S3xC2xC4):6C2 = S3xC4oD4φ: C2/C1C2 ⊆ Out S3xC2xC4244(S3xC2xC4):6C296,215
(S3xC2xC4):7C2 = C4xD12φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4):7C296,80
(S3xC2xC4):8C2 = S3xC22:C4φ: C2/C1C2 ⊆ Out S3xC2xC424(S3xC2xC4):8C296,87
(S3xC2xC4):9C2 = Dic3:4D4φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4):9C296,88
(S3xC2xC4):10C2 = C23.9D6φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4):10C296,90
(S3xC2xC4):11C2 = Dic3:D4φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4):11C296,91
(S3xC2xC4):12C2 = Dic3:5D4φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4):12C296,100
(S3xC2xC4):13C2 = D6.D4φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4):13C296,101
(S3xC2xC4):14C2 = C4xC3:D4φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4):14C296,135
(S3xC2xC4):15C2 = C2xC4oD12φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4):15C296,208

Non-split extensions G=N.Q with N=S3xC2xC4 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3xC2xC4).1C2 = S3xC4:C4φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4).1C296,98
(S3xC2xC4).2C2 = C4:C4:7S3φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4).2C296,99
(S3xC2xC4).3C2 = C4.D12φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4).3C296,104
(S3xC2xC4).4C2 = S3xM4(2)φ: C2/C1C2 ⊆ Out S3xC2xC4244(S3xC2xC4).4C296,113
(S3xC2xC4).5C2 = D6:3Q8φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4).5C296,153
(S3xC2xC4).6C2 = C2xS3xQ8φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4).6C296,212
(S3xC2xC4).7C2 = D6:C8φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4).7C296,27
(S3xC2xC4).8C2 = C42:2S3φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4).8C296,79
(S3xC2xC4).9C2 = D6:Q8φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4).9C296,103
(S3xC2xC4).10C2 = C2xC8:S3φ: C2/C1C2 ⊆ Out S3xC2xC448(S3xC2xC4).10C296,107
(S3xC2xC4).11C2 = S3xC42φ: trivial image48(S3xC2xC4).11C296,78
(S3xC2xC4).12C2 = S3xC2xC8φ: trivial image48(S3xC2xC4).12C296,106

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