Extensions 1→N→G→Q→1 with N=D₄.A₄ and Q=C₂

Direct product G=N×Q with N=D₄.A₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₄.A₄		32		C2xD4.A4	192,1503

Semidirect products G=N:Q with N=D₄.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.A₄⋊₁C₂ = D₄.₃S₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.A₄	32	4	D4.A4:1C2	192,990
D₄.A₄⋊₂C₂ = D₄.₄S₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.A₄	16	4	D4.A4:2C2	192,1485
D₄.A₄⋊₃C₂ = D₄.₅S₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.A₄	32	4-	D4.A4:3C2	192,1486
D₄.A₄⋊₄C₂ = SD₁₆.A₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.A₄	32	4	D4.A4:4C2	192,1018
D₄.A₄⋊₅C₂ = D₈.A₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.A₄	32	4-	D4.A4:5C2	192,1019
D₄.A₄⋊₆C₂ = 2_-¹⁺⁴⋊₃C₆	φ: trivial image	32	4	D4.A4:6C2	192,1504

Non-split extensions G=N.Q with N=D₄.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.A₄.C₂ = D₄.S₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.A₄	32	4-	D4.A4.C2	192,989

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