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

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

		d	ρ	Label	ID
C₂²×S₃²		24		C2^2xS3^2	144,192

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₃²)⋊₁C₂ = S₃×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃²	24	4+	(C2xS3^2):1C2	144,144
(C₂×S₃²)⋊₂C₂ = D₆⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃²	24	4	(C2xS3^2):2C2	144,145
(C₂×S₃²)⋊₃C₂ = S₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃²	24	4	(C2xS3^2):3C2	144,153
(C₂×S₃²)⋊₄C₂ = Dic₃⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃²	12	4+	(C2xS3^2):4C2	144,154
(C₂×S₃²)⋊₅C₂ = C₂×S₃≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃²	12	4+	(C2xS3^2):5C2	144,186

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₃²).C₂ = S₃²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃²	12	4+	(C2xS3^2).C2	144,115
(C₂×S₃²).₂C₂ = C₄×S₃²	φ: trivial image	24	4	(C2xS3^2).2C2	144,143

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