Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC12:S3

Direct product G=NxQ with N=C3 and Q=C2xC12:S3
dρLabelID
C6xC12:S3144C6xC12:S3432,712

Semidirect products G=N:Q with N=C3 and Q=C2xC12:S3
extensionφ:Q→Aut NdρLabelID
C3:1(C2xC12:S3) = S3xC12:S3φ: C2xC12:S3/C12:S3C2 ⊆ Aut C372C3:1(C2xC12:S3)432,671
C3:2(C2xC12:S3) = C2xC33:12D4φ: C2xC12:S3/C6xC12C2 ⊆ Aut C3216C3:2(C2xC12:S3)432,722
C3:3(C2xC12:S3) = C2xC33:8D4φ: C2xC12:S3/C22xC3:S3C2 ⊆ Aut C372C3:3(C2xC12:S3)432,682

Non-split extensions G=N.Q with N=C3 and Q=C2xC12:S3
extensionφ:Q→Aut NdρLabelID
C3.(C2xC12:S3) = C2xC36:S3φ: C2xC12:S3/C6xC12C2 ⊆ Aut C3216C3.(C2xC12:S3)432,382
C3.2(C2xC12:S3) = C2xHe3:5D4central stem extension (φ=1)72C3.2(C2xC12:S3)432,386

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