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

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

		d	ρ	Label	ID
C₂×C₂³.A₄		12	6+	C2xC2^3.A4	192,1002

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.A₄⋊₁C₂ = C₂⁴.₆A₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.A₄	16	12+	C2^3.A4:1C2	192,1008
C₂³.A₄⋊₂C₂ = C₄²⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.A₄	12	6+	C2^3.A4:2C2	192,956

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.A₄.C₂ = C₄²⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³.A₄	16	12+	C2^3.A4.C2	192,185

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