# Extensions 1→N→G→Q→1 with N=C3 and Q=C3×S3×D4

Direct product G=N×Q with N=C3 and Q=C3×S3×D4
dρLabelID
S3×D4×C3272S3xD4xC3^2432,704

Semidirect products G=N:Q with N=C3 and Q=C3×S3×D4
extensionφ:Q→Aut NdρLabelID
C31(C3×S3×D4) = C3×S3×D12φ: C3×S3×D4/S3×C12C2 ⊆ Aut C3484C3:1(C3xS3xD4)432,649
C32(C3×S3×D4) = C3×D6⋊D6φ: C3×S3×D4/C3×D12C2 ⊆ Aut C3484C3:2(C3xS3xD4)432,650
C33(C3×S3×D4) = C3×Dic3⋊D6φ: C3×S3×D4/C3×C3⋊D4C2 ⊆ Aut C3244C3:3(C3xS3xD4)432,659
C34(C3×S3×D4) = C3×D4×C3⋊S3φ: C3×S3×D4/D4×C32C2 ⊆ Aut C372C3:4(C3xS3xD4)432,714
C35(C3×S3×D4) = C3×S3×C3⋊D4φ: C3×S3×D4/S3×C2×C6C2 ⊆ Aut C3244C3:5(C3xS3xD4)432,658

Non-split extensions G=N.Q with N=C3 and Q=C3×S3×D4
extensionφ:Q→Aut NdρLabelID
C3.1(C3×S3×D4) = C3×D4×D9φ: C3×S3×D4/D4×C32C2 ⊆ Aut C3724C3.1(C3xS3xD4)432,356
C3.2(C3×S3×D4) = D4×C32⋊C6φ: C3×S3×D4/D4×C32C2 ⊆ Aut C33612+C3.2(C3xS3xD4)432,360
C3.3(C3×S3×D4) = D4×C9⋊C6φ: C3×S3×D4/D4×C32C2 ⊆ Aut C33612+C3.3(C3xS3xD4)432,362
C3.4(C3×S3×D4) = S3×D4×C9central extension (φ=1)724C3.4(C3xS3xD4)432,358

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