Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃

Direct product G=N×Q with N=C₄ and Q=S₃

		d	ρ	Label	ID
C₄×S₃		12	2	C4xS3	24,5

Semidirect products G=N:Q with N=C₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊S₃ = D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄	12	2+	C4:S3	24,6

Non-split extensions G=N.Q with N=C₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.S₃ = Dic₆	φ: S₃/C₃ → C₂ ⊆ Aut C₄	24	2-	C4.S3	24,4
C₄.₂S₃ = C₃⋊C₈	central extension (φ=1)	24	2	C4.2S3	24,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=S3