Extensions 1→N→G→Q→1 with N=C₂²×S₃² and Q=C₂

Direct product G=N×Q with N=C₂²×S₃² and Q=C₂

		d	ρ	Label	ID
S₃²×C₂³		48		S3^2xC2^3	288,1040

Semidirect products G=N:Q with N=C₂²×S₃² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃²)⋊₁C₂ = D₆⋊₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃²	48		(C2^2xS3^2):1C2	288,570
(C₂²×S₃²)⋊₂C₂ = D₆⋊₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃²	48		(C2^2xS3^2):2C2	288,571
(C₂²×S₃²)⋊₃C₂ = C₆².₁₂₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃²	48		(C2^2xS3^2):3C2	288,631
(C₂²×S₃²)⋊₄C₂ = D₆≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃²	12	4+	(C2^2xS3^2):4C2	288,889
(C₂²×S₃²)⋊₅C₂ = C₂×S₃×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃²	48		(C2^2xS3^2):5C2	288,951
(C₂²×S₃²)⋊₆C₂ = C₂×D₆⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃²	48		(C2^2xS3^2):6C2	288,952
(C₂²×S₃²)⋊₇C₂ = S₃²×D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃²	24	8+	(C2^2xS3^2):7C2	288,958
(C₂²×S₃²)⋊₈C₂ = C₂×S₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃²	48		(C2^2xS3^2):8C2	288,976
(C₂²×S₃²)⋊₉C₂ = C₂×Dic₃⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃²	24		(C2^2xS3^2):9C2	288,977
(C₂²×S₃²)⋊₁₀C₂ = C₂²×S₃≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃²	24		(C2^2xS3^2):10C2	288,1031

Non-split extensions G=N.Q with N=C₂²×S₃² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃²).₁C₂ = S₃×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃²	48		(C2^2xS3^2).1C2	288,568
(C₂²×S₃²).₂C₂ = C₆².₉₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃²	48		(C2^2xS3^2).2C2	288,569
(C₂²×S₃²).₃C₂ = C₂×S₃²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×S₃²	24		(C2^2xS3^2).3C2	288,880
(C₂²×S₃²).₄C₂ = S₃²×C₂×C₄	φ: trivial image	48		(C2^2xS3^2).4C2	288,950

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