Extensions 1→N→G→Q→1 with N=S3xC3xC6 and Q=C2

Direct product G=NxQ with N=S3xC3xC6 and Q=C2
dρLabelID
S3xC6272S3xC6^2216,174

Semidirect products G=N:Q with N=S3xC3xC6 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3xC3xC6):1C2 = C3xD6:S3φ: C2/C1C2 ⊆ Out S3xC3xC6244(S3xC3xC6):1C2216,121
(S3xC3xC6):2C2 = C3xC3:D12φ: C2/C1C2 ⊆ Out S3xC3xC6244(S3xC3xC6):2C2216,122
(S3xC3xC6):3C2 = C33:6D4φ: C2/C1C2 ⊆ Out S3xC3xC672(S3xC3xC6):3C2216,127
(S3xC3xC6):4C2 = C33:7D4φ: C2/C1C2 ⊆ Out S3xC3xC636(S3xC3xC6):4C2216,128
(S3xC3xC6):5C2 = C32xD12φ: C2/C1C2 ⊆ Out S3xC3xC672(S3xC3xC6):5C2216,137
(S3xC3xC6):6C2 = C32xC3:D4φ: C2/C1C2 ⊆ Out S3xC3xC636(S3xC3xC6):6C2216,139
(S3xC3xC6):7C2 = S32xC6φ: C2/C1C2 ⊆ Out S3xC3xC6244(S3xC3xC6):7C2216,170
(S3xC3xC6):8C2 = C2xS3xC3:S3φ: C2/C1C2 ⊆ Out S3xC3xC636(S3xC3xC6):8C2216,171

Non-split extensions G=N.Q with N=S3xC3xC6 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3xC3xC6).1C2 = C3xS3xDic3φ: C2/C1C2 ⊆ Out S3xC3xC6244(S3xC3xC6).1C2216,119
(S3xC3xC6).2C2 = S3xC3:Dic3φ: C2/C1C2 ⊆ Out S3xC3xC672(S3xC3xC6).2C2216,124
(S3xC3xC6).3C2 = S3xC3xC12φ: trivial image72(S3xC3xC6).3C2216,136

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