# Extensions 1→N→G→Q→1 with N=C4 and Q=C3×S32

Direct product G=N×Q with N=C4 and Q=C3×S32
dρLabelID
S32×C12484S3^2xC12432,648

Semidirect products G=N:Q with N=C4 and Q=C3×S32
extensionφ:Q→Aut NdρLabelID
C41(C3×S32) = C3×S3×D12φ: C3×S32/S3×C32C2 ⊆ Aut C4484C4:1(C3xS3^2)432,649
C42(C3×S32) = C3×D6⋊D6φ: C3×S32/C3×C3⋊S3C2 ⊆ Aut C4484C4:2(C3xS3^2)432,650

Non-split extensions G=N.Q with N=C4 and Q=C3×S32
extensionφ:Q→Aut NdρLabelID
C4.1(C3×S32) = C3×C3⋊D24φ: C3×S32/S3×C32C2 ⊆ Aut C4484C4.1(C3xS3^2)432,419
C4.2(C3×S32) = C3×D12.S3φ: C3×S32/S3×C32C2 ⊆ Aut C4484C4.2(C3xS3^2)432,421
C4.3(C3×S32) = C3×C325SD16φ: C3×S32/S3×C32C2 ⊆ Aut C4484C4.3(C3xS3^2)432,422
C4.4(C3×S32) = C3×C323Q16φ: C3×S32/S3×C32C2 ⊆ Aut C4484C4.4(C3xS3^2)432,424
C4.5(C3×S32) = C3×S3×Dic6φ: C3×S32/S3×C32C2 ⊆ Aut C4484C4.5(C3xS3^2)432,642
C4.6(C3×S32) = C3×D125S3φ: C3×S32/S3×C32C2 ⊆ Aut C4484C4.6(C3xS3^2)432,643
C4.7(C3×S32) = C3×D6.6D6φ: C3×S32/S3×C32C2 ⊆ Aut C4484C4.7(C3xS3^2)432,647
C4.8(C3×S32) = C3×C322D8φ: C3×S32/C3×C3⋊S3C2 ⊆ Aut C4484C4.8(C3xS3^2)432,418
C4.9(C3×S32) = C3×Dic6⋊S3φ: C3×S32/C3×C3⋊S3C2 ⊆ Aut C4484C4.9(C3xS3^2)432,420
C4.10(C3×S32) = C3×C322Q16φ: C3×S32/C3×C3⋊S3C2 ⊆ Aut C4484C4.10(C3xS3^2)432,423
C4.11(C3×S32) = C3×D12⋊S3φ: C3×S32/C3×C3⋊S3C2 ⊆ Aut C4484C4.11(C3xS3^2)432,644
C4.12(C3×S32) = C3×Dic3.D6φ: C3×S32/C3×C3⋊S3C2 ⊆ Aut C4484C4.12(C3xS3^2)432,645
C4.13(C3×S32) = C3×S3×C3⋊C8central extension (φ=1)484C4.13(C3xS3^2)432,414
C4.14(C3×S32) = C3×C12.29D6central extension (φ=1)484C4.14(C3xS3^2)432,415
C4.15(C3×S32) = C3×D6.Dic3central extension (φ=1)484C4.15(C3xS3^2)432,416
C4.16(C3×S32) = C3×C12.31D6central extension (φ=1)484C4.16(C3xS3^2)432,417
C4.17(C3×S32) = C3×D6.D6central extension (φ=1)484C4.17(C3xS3^2)432,646

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