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		16		C2xC2^3:A4	192,1508

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊A₄⋊₁C₂ = C₂≀A₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊A₄	8	4+	C2^3:A4:1C2	192,201
C₂³⋊A₄⋊₂C₂ = C₂³⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊A₄	8	4+	C2^3:A4:2C2	192,1493
C₂³⋊A₄⋊₃C₂ = Q₈⋊₂S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊A₄	8	4+	C2^3:A4:3C2	192,1494
C₂³⋊A₄⋊₄C₂ = 2₊¹⁺⁴.₃C₆	φ: trivial image	16	4	C2^3:A4:4C2	192,1509

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊A₄.₁C₂ = 2₊¹⁺⁴.C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊A₄	16	4	C2^3:A4.1C2	192,202
C₂³⋊A₄.₂C₂ = C₂³.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊A₄	16	4	C2^3:A4.2C2	192,1491
C₂³⋊A₄.₃C₂ = Q₈.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊A₄	16	4	C2^3:A4.3C2	192,1492

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