Extensions 1→N→G→Q→1 with N=C₄.A₄ and Q=C₂

Direct product G=N×Q with N=C₄.A₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄.A₄		32		C2xC4.A4	96,200

Semidirect products G=N:Q with N=C₄.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.A₄⋊₁C₂ = C₄.₃S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.A₄	16	4+	C4.A4:1C2	96,193
C₄.A₄⋊₂C₂ = C₄.₆S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.A₄	16	2	C4.A4:2C2	96,192
C₄.A₄⋊₃C₂ = Q₈.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.A₄	24	4+	C4.A4:3C2	96,201
C₄.A₄⋊₄C₂ = D₄.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.A₄	16	4-	C4.A4:4C2	96,202

Non-split extensions G=N.Q with N=C₄.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.A₄.₁C₂ = C₄.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.A₄	32	4-	C4.A4.1C2	96,191
C₄.A₄.₂C₂ = U₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₄.A₄	24	2	C4.A4.2C2	96,67
C₄.A₄.₃C₂ = C₈.A₄	φ: trivial image	32	2	C4.A4.3C2	96,74

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