Extensions 1→N→G→Q→1 with N=S₃×C₃²⋊C₄ and Q=C₂

Direct product G=N×Q with N=S₃×C₃²⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×S₃×C₃²⋊C₄		24	8+	C2xS3xC3^2:C4	432,753

Semidirect products G=N:Q with N=S₃×C₃²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃²⋊C₄)⋊C₂ = S₃×S₃≀C₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃²⋊C₄	12	8+	(S3xC3^2:C4):C2	432,741

Non-split extensions G=N.Q with N=S₃×C₃²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃²⋊C₄).₁C₂ = S₃×PSU₃(𝔽₂)	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃²⋊C₄	24	16+	(S3xC3^2:C4).1C2	432,742
(S₃×C₃²⋊C₄).₂C₂ = S₃×F₉	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₃²⋊C₄	24	16+	(S3xC3^2:C4).2C2	432,736

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Extensions 1→N→G→Q→1 with N=S3×C32⋊C4 and Q=C2