Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃

Direct product G=N×Q with N=C₂² and Q=S₃

		d	ρ	Label	ID
C₂²×S₃		12		C2^2xS3	24,14

Semidirect products G=N:Q with N=C₂² and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊S₃ = S₄	φ: S₃/C₁ → S₃ ⊆ Aut C₂²	4	3+	C2^2:S3	24,12
C₂²⋊₂S₃ = C₃⋊D₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂²	12	2	C2^2:2S3	24,8

Non-split extensions G=N.Q with N=C₂² and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².S₃ = C₂×Dic₃	central extension (φ=1)	24		C2^2.S3	24,7

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Extensions 1→N→G→Q→1 with N=C22 and Q=S3