Extensions 1→N→G→Q→1 with N=C₄.S₄ and Q=C₂

Direct product G=N×Q with N=C₄.S₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄.S₄		64		C2xC4.S4	192,1479

Semidirect products G=N:Q with N=C₄.S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.S₄⋊₁C₂ = C₈.₄S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.S₄	32	4	C4.S4:1C2	192,965
C₄.S₄⋊₂C₂ = Q₈.₄S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.S₄	48	4	C4.S4:2C2	192,987
C₄.S₄⋊₃C₂ = D₄.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.S₄	32	4-	C4.S4:3C2	192,989
C₄.S₄⋊₄C₂ = Q₈.₆S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.S₄	32	4	C4.S4:4C2	192,1483
C₄.S₄⋊₅C₂ = D₄.₅S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.S₄	32	4-	C4.S4:5C2	192,1486
C₄.S₄⋊₆C₂ = GL₂(𝔽₃)⋊C₂²	φ: trivial image	32	4	C4.S4:6C2	192,1482

Non-split extensions G=N.Q with N=C₄.S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.S₄.C₂ = C₈.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.S₄	64	4-	C4.S4.C2	192,962

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