Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C12⋊S3

Direct product G=N×Q with N=C3 and Q=C2×C12⋊S3
dρLabelID
C6×C12⋊S3144C6xC12:S3432,712

Semidirect products G=N:Q with N=C3 and Q=C2×C12⋊S3
extensionφ:Q→Aut NdρLabelID
C31(C2×C12⋊S3) = S3×C12⋊S3φ: C2×C12⋊S3/C12⋊S3C2 ⊆ Aut C372C3:1(C2xC12:S3)432,671
C32(C2×C12⋊S3) = C2×C3312D4φ: C2×C12⋊S3/C6×C12C2 ⊆ Aut C3216C3:2(C2xC12:S3)432,722
C33(C2×C12⋊S3) = C2×C338D4φ: C2×C12⋊S3/C22×C3⋊S3C2 ⊆ Aut C372C3:3(C2xC12:S3)432,682

Non-split extensions G=N.Q with N=C3 and Q=C2×C12⋊S3
extensionφ:Q→Aut NdρLabelID
C3.(C2×C12⋊S3) = C2×C36⋊S3φ: C2×C12⋊S3/C6×C12C2 ⊆ Aut C3216C3.(C2xC12:S3)432,382
C3.2(C2×C12⋊S3) = C2×He35D4central stem extension (φ=1)72C3.2(C2xC12:S3)432,386

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