Extensions 1→N→G→Q→1 with N=C₈.A₄ and Q=C₂

Direct product G=N×Q with N=C₈.A₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₈.A₄		64		C2xC8.A4	192,1012

Semidirect products G=N:Q with N=C₈.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.A₄⋊₁C₂ = C₈.₃S₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.A₄	32	4+	C8.A4:1C2	192,966
C₈.A₄⋊₂C₂ = C₈.₄S₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.A₄	32	4	C8.A4:2C2	192,965
C₈.A₄⋊₃C₂ = Q₁₆.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.A₄	48	4+	C8.A4:3C2	192,1017
C₈.A₄⋊₄C₂ = D₈.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.A₄	32	4-	C8.A4:4C2	192,1019
C₈.A₄⋊₅C₂ = CU₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out C₈.A₄	32	2	C8.A4:5C2	192,963
C₈.A₄⋊₆C₂ = C₈.₅S₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.A₄	32	4	C8.A4:6C2	192,964
C₈.A₄⋊₇C₂ = SD₁₆.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.A₄	32	4	C8.A4:7C2	192,1018
C₈.A₄⋊₈C₂ = M₄(2).A₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.A₄	32	4	C8.A4:8C2	192,1013

Non-split extensions G=N.Q with N=C₈.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.A₄.₁C₂ = C₈.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.A₄	64	4-	C8.A4.1C2	192,962
C₈.A₄.₂C₂ = C₈.₇S₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.A₄	64	2	C8.A4.2C2	192,187
C₈.A₄.₃C₂ = C₁₆.A₄	φ: trivial image	64	2	C8.A4.3C2	192,204

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