Extensions 1→N→G→Q→1 with N=C3 and Q=C4×S3

Direct product G=N×Q with N=C3 and Q=C4×S3
dρLabelID
S3×C12242S3xC1272,27

Semidirect products G=N:Q with N=C3 and Q=C4×S3
extensionφ:Q→Aut NdρLabelID
C3⋊1(C4×S3) = C6.D6φ: C4×S3/Dic3 → C2 ⊆ Aut C3124+C3:1(C4xS3)72,21
C3⋊2(C4×S3) = C4×C3⋊S3φ: C4×S3/C12 → C2 ⊆ Aut C336C3:2(C4xS3)72,32
C3⋊3(C4×S3) = S3×Dic3φ: C4×S3/D6 → C2 ⊆ Aut C3244-C3:3(C4xS3)72,20

Non-split extensions G=N.Q with N=C3 and Q=C4×S3
extensionφ:Q→Aut NdρLabelID
C3.(C4×S3) = C4×D9φ: C4×S3/C12 → C2 ⊆ Aut C3362C3.(C4xS3)72,5

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