Extensions 1→N→G→Q→1 with N=D6:S3 and Q=C6

Direct product G=NxQ with N=D6:S3 and Q=C6
dρLabelID
C6xD6:S348C6xD6:S3432,655

Semidirect products G=N:Q with N=D6:S3 and Q=C6
extensionφ:Q→Out NdρLabelID
D6:S3:1C6 = C3xC32:D8φ: C6/C3C2 ⊆ Out D6:S3244D6:S3:1C6432,576
D6:S3:2C6 = C3xD12:5S3φ: C6/C3C2 ⊆ Out D6:S3484D6:S3:2C6432,643
D6:S3:3C6 = C3xD6:D6φ: C6/C3C2 ⊆ Out D6:S3484D6:S3:3C6432,650
D6:S3:4C6 = C3xD6.4D6φ: C6/C3C2 ⊆ Out D6:S3244D6:S3:4C6432,653
D6:S3:5C6 = C3xS3xC3:D4φ: C6/C3C2 ⊆ Out D6:S3244D6:S3:5C6432,658
D6:S3:6C6 = C3xD6.D6φ: trivial image484D6:S3:6C6432,646

Non-split extensions G=N.Q with N=D6:S3 and Q=C6
extensionφ:Q→Out NdρLabelID
D6:S3.C6 = C3xC32:2SD16φ: C6/C3C2 ⊆ Out D6:S3244D6:S3.C6432,577

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