Extensions 1→N→G→Q→1 with N=C12:S3 and Q=C2

Direct product G=NxQ with N=C12:S3 and Q=C2
dρLabelID
C2xC12:S372C2xC12:S3144,170

Semidirect products G=N:Q with N=C12:S3 and Q=C2
extensionφ:Q→Out NdρLabelID
C12:S3:1C2 = C32:5D8φ: C2/C1C2 ⊆ Out C12:S372C12:S3:1C2144,88
C12:S3:2C2 = C3:D24φ: C2/C1C2 ⊆ Out C12:S3244+C12:S3:2C2144,57
C12:S3:3C2 = C32:7D8φ: C2/C1C2 ⊆ Out C12:S372C12:S3:3C2144,96
C12:S3:4C2 = D6.6D6φ: C2/C1C2 ⊆ Out C12:S3244+C12:S3:4C2144,142
C12:S3:5C2 = S3xD12φ: C2/C1C2 ⊆ Out C12:S3244+C12:S3:5C2144,144
C12:S3:6C2 = D4xC3:S3φ: C2/C1C2 ⊆ Out C12:S336C12:S3:6C2144,172
C12:S3:7C2 = C12.26D6φ: C2/C1C2 ⊆ Out C12:S372C12:S3:7C2144,175
C12:S3:8C2 = C12.59D6φ: trivial image72C12:S3:8C2144,171

Non-split extensions G=N.Q with N=C12:S3 and Q=C2
extensionφ:Q→Out NdρLabelID
C12:S3.1C2 = C24:2S3φ: C2/C1C2 ⊆ Out C12:S372C12:S3.1C2144,87
C12:S3.2C2 = C32:5SD16φ: C2/C1C2 ⊆ Out C12:S3244+C12:S3.2C2144,60
C12:S3.3C2 = C32:11SD16φ: C2/C1C2 ⊆ Out C12:S372C12:S3.3C2144,98

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