Extensions 1→N→G→Q→1 with N=S3xC2xC6 and Q=C2

Direct product G=NxQ with N=S3xC2xC6 and Q=C2
dρLabelID
S3xC22xC648S3xC2^2xC6144,195

Semidirect products G=N:Q with N=S3xC2xC6 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3xC2xC6):1C2 = C2xD6:S3φ: C2/C1C2 ⊆ Out S3xC2xC648(S3xC2xC6):1C2144,150
(S3xC2xC6):2C2 = C2xC3:D12φ: C2/C1C2 ⊆ Out S3xC2xC624(S3xC2xC6):2C2144,151
(S3xC2xC6):3C2 = S3xC3:D4φ: C2/C1C2 ⊆ Out S3xC2xC6244(S3xC2xC6):3C2144,153
(S3xC2xC6):4C2 = C6xD12φ: C2/C1C2 ⊆ Out S3xC2xC648(S3xC2xC6):4C2144,160
(S3xC2xC6):5C2 = C3xS3xD4φ: C2/C1C2 ⊆ Out S3xC2xC6244(S3xC2xC6):5C2144,162
(S3xC2xC6):6C2 = C6xC3:D4φ: C2/C1C2 ⊆ Out S3xC2xC624(S3xC2xC6):6C2144,167
(S3xC2xC6):7C2 = C22xS32φ: C2/C1C2 ⊆ Out S3xC2xC624(S3xC2xC6):7C2144,192

Non-split extensions G=N.Q with N=S3xC2xC6 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3xC2xC6).1C2 = D6:Dic3φ: C2/C1C2 ⊆ Out S3xC2xC648(S3xC2xC6).1C2144,64
(S3xC2xC6).2C2 = C3xD6:C4φ: C2/C1C2 ⊆ Out S3xC2xC648(S3xC2xC6).2C2144,79
(S3xC2xC6).3C2 = C2xS3xDic3φ: C2/C1C2 ⊆ Out S3xC2xC648(S3xC2xC6).3C2144,146
(S3xC2xC6).4C2 = S3xC2xC12φ: trivial image48(S3xC2xC6).4C2144,159

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