Extensions 1→N→G→Q→1 with N=C₂³.₃A₄ and Q=C₂

Direct product G=N×Q with N=C₂³.₃A₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.₃A₄		24		C2xC2^3.3A4	192,189

Semidirect products G=N:Q with N=C₂³.₃A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₃A₄⋊₁C₂ = C₂³⋊₂D₄⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃A₄	12	6+	C2^3.3A4:1C2	192,194
C₂³.₃A₄⋊₂C₂ = C₂⁴.₂A₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃A₄	12	6+	C2^3.3A4:2C2	192,197
C₂³.₃A₄⋊₃C₂ = C₂⁴.₃A₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃A₄	24	6	C2^3.3A4:3C2	192,198
C₂³.₃A₄⋊₄C₂ = C₂³.₈S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃A₄	24	6+	C2^3.3A4:4C2	192,181

Non-split extensions G=N.Q with N=C₂³.₃A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₃A₄.₁C₂ = C₂³.₁₉(C₂×A₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃A₄	24	6	C2^3.3A4.1C2	192,199
C₂³.₃A₄.₂C₂ = C₂³.₇S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₃A₄	24	6	C2^3.3A4.2C2	192,180
C₂³.₃A₄.₃C₂ = C₄²⋊₄C₄⋊C₃	φ: trivial image	24	6	C2^3.3A4.3C2	192,190

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