Extensions 1→N→G→Q→1 with N=C12:S3 and Q=C6

Direct product G=NxQ with N=C12:S3 and Q=C6
dρLabelID
C6xC12:S3144C6xC12:S3432,712

Semidirect products G=N:Q with N=C12:S3 and Q=C6
extensionφ:Q→Out NdρLabelID
C12:S3:1C6 = He3:4D8φ: C6/C1C6 ⊆ Out C12:S3726+C12:S3:1C6432,118
C12:S3:2C6 = He3:6D8φ: C6/C1C6 ⊆ Out C12:S37212+C12:S3:2C6432,153
C12:S3:3C6 = D4xC32:C6φ: C6/C1C6 ⊆ Out C12:S33612+C12:S3:3C6432,360
C12:S3:4C6 = (Q8xHe3):C2φ: C6/C1C6 ⊆ Out C12:S37212+C12:S3:4C6432,369
C12:S3:5C6 = C2xHe3:4D4φ: C6/C2C3 ⊆ Out C12:S372C12:S3:5C6432,350
C12:S3:6C6 = C62.36D6φ: C6/C2C3 ⊆ Out C12:S3726C12:S3:6C6432,351
C12:S3:7C6 = C3xC32:5D8φ: C6/C3C2 ⊆ Out C12:S3144C12:S3:7C6432,483
C12:S3:8C6 = C3xC3:D24φ: C6/C3C2 ⊆ Out C12:S3484C12:S3:8C6432,419
C12:S3:9C6 = C3xC32:7D8φ: C6/C3C2 ⊆ Out C12:S372C12:S3:9C6432,491
C12:S3:10C6 = C3xD6.6D6φ: C6/C3C2 ⊆ Out C12:S3484C12:S3:10C6432,647
C12:S3:11C6 = C3xS3xD12φ: C6/C3C2 ⊆ Out C12:S3484C12:S3:11C6432,649
C12:S3:12C6 = C3xD4xC3:S3φ: C6/C3C2 ⊆ Out C12:S372C12:S3:12C6432,714
C12:S3:13C6 = C3xC12.26D6φ: C6/C3C2 ⊆ Out C12:S3144C12:S3:13C6432,717
C12:S3:14C6 = C3xC12.59D6φ: trivial image72C12:S3:14C6432,713

Non-split extensions G=N.Q with N=C12:S3 and Q=C6
extensionφ:Q→Out NdρLabelID
C12:S3.1C6 = He3:6SD16φ: C6/C1C6 ⊆ Out C12:S3726C12:S3.1C6432,117
C12:S3.2C6 = He3:10SD16φ: C6/C1C6 ⊆ Out C12:S37212+C12:S3.2C6432,161
C12:S3.3C6 = C3xC24:2S3φ: C6/C3C2 ⊆ Out C12:S3144C12:S3.3C6432,482
C12:S3.4C6 = C3xC32:5SD16φ: C6/C3C2 ⊆ Out C12:S3484C12:S3.4C6432,422
C12:S3.5C6 = C3xC32:11SD16φ: C6/C3C2 ⊆ Out C12:S3144C12:S3.5C6432,493

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