Extensions 1→N→G→Q→1 with N=C3⋊S3 and Q=S4

Direct product G=N×Q with N=C3⋊S3 and Q=S4
dρLabelID
C3⋊S3×S436C3:S3xS4432,746

Semidirect products G=N:Q with N=C3⋊S3 and Q=S4
extensionφ:Q→Out NdρLabelID
C3⋊S3⋊S4 = C625D6φ: S4/C22S3 ⊆ Out C3⋊S3186+C3:S3:S4432,523
C3⋊S32S4 = C6210D6φ: S4/A4C2 ⊆ Out C3⋊S32412+C3:S3:2S4432,748

Non-split extensions G=N.Q with N=C3⋊S3 and Q=S4
extensionφ:Q→Out NdρLabelID
C3⋊S3.S4 = AGL2(𝔽3)φ: S4/C1S4 ⊆ Out C3⋊S398+C3:S3.S4432,734
C3⋊S3.2S4 = C62⋊Dic3φ: S4/A4C2 ⊆ Out C3⋊S32412+C3:S3.2S4432,743

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