Extensions 1→N→G→Q→1 with N=C₂×S₃² and Q=C₄

Direct product G=N×Q with N=C₂×S₃² and Q=C₄

		d	ρ	Label	ID
S₃²×C₂×C₄		48		S3^2xC2xC4	288,950

Semidirect products G=N:Q with N=C₂×S₃² and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₃²)⋊C₄ = C₆².₂D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×S₃²	24	4+	(C2xS3^2):C4	288,386
(C₂×S₃²)⋊₂C₄ = S₃×D₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×S₃²	48		(C2xS3^2):2C4	288,568
(C₂×S₃²)⋊₃C₄ = C₆².₉₁C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₂×S₃²	48		(C2xS3^2):3C4	288,569
(C₂×S₃²)⋊₄C₄ = C₂×S₃²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×S₃²	24		(C2xS3^2):4C4	288,880

Non-split extensions G=N.Q with N=C₂×S₃² and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₃²).C₄ = C₄.S₃≀C₂	φ: C₄/C₁ → C₄ ⊆ Out C₂×S₃²	24	4	(C2xS3^2).C4	288,375
(C₂×S₃²).₂C₄ = S₃²⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×S₃²	24	4	(C2xS3^2).2C4	288,374
(C₂×S₃²).₃C₄ = S₃×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out C₂×S₃²	48	4	(C2xS3^2).3C4	288,438
(C₂×S₃²).₄C₄ = C₂₄⋊D₆	φ: C₄/C₂ → C₂ ⊆ Out C₂×S₃²	48	4	(C2xS3^2).4C4	288,439
(C₂×S₃²).₅C₄ = S₃²×C₈	φ: trivial image	48	4	(C2xS3^2).5C4	288,437

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