Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=C₂

Direct product G=N×Q with N=C₂²×S₃ and Q=C₂

		d	ρ	Label	ID
S₃×C₂³		24		S3xC2^3	48,51

Semidirect products G=N:Q with N=C₂²×S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊₁C₂ = C₂×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃	24		(C2^2xS3):1C2	48,36
(C₂²×S₃)⋊₂C₂ = S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃	12	4+	(C2^2xS3):2C2	48,38
(C₂²×S₃)⋊₃C₂ = C₂×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃	24		(C2^2xS3):3C2	48,43

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).C₂ = D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃	24		(C2^2xS3).C2	48,14
(C₂²×S₃).₂C₂ = S₃×C₂×C₄	φ: trivial image	24		(C2^2xS3).2C2	48,35

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Extensions 1→N→G→Q→1 with N=C22×S3 and Q=C2