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

Direct product G=N×Q with N=C3 and Q=S3×C4⋊C4
dρLabelID
C3×S3×C4⋊C496C3xS3xC4:C4288,662

Semidirect products G=N:Q with N=C3 and Q=S3×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C31(S3×C4⋊C4) = C62.53C23φ: S3×C4⋊C4/Dic3⋊C4C2 ⊆ Aut C348C3:1(S3xC4:C4)288,531
C32(S3×C4⋊C4) = C62.70C23φ: S3×C4⋊C4/C4⋊Dic3C2 ⊆ Aut C348C3:2(S3xC4:C4)288,548
C33(S3×C4⋊C4) = C4⋊C4×C3⋊S3φ: S3×C4⋊C4/C3×C4⋊C4C2 ⊆ Aut C3144C3:3(S3xC4:C4)288,748
C34(S3×C4⋊C4) = S3×Dic3⋊C4φ: S3×C4⋊C4/S3×C2×C4C2 ⊆ Aut C396C3:4(S3xC4:C4)288,524
C35(S3×C4⋊C4) = S3×C4⋊Dic3φ: S3×C4⋊C4/S3×C2×C4C2 ⊆ Aut C396C3:5(S3xC4:C4)288,537

Non-split extensions G=N.Q with N=C3 and Q=S3×C4⋊C4
extensionφ:Q→Aut NdρLabelID
C3.(S3×C4⋊C4) = C4⋊C4×D9φ: S3×C4⋊C4/C3×C4⋊C4C2 ⊆ Aut C3144C3.(S3xC4:C4)288,101

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