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		24		C2xC4:S4	192,1470

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊S₄⋊₁C₂ = A₄⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊S₄	24	6+	C4:S4:1C2	192,961
C₄⋊S₄⋊₂C₂ = D₄⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊S₄	24	6+	C4:S4:2C2	192,974
C₄⋊S₄⋊₃C₂ = D₄×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊S₄	12	6+	C4:S4:3C2	192,1472
C₄⋊S₄⋊₄C₂ = Q₈⋊₄S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊S₄	24	6	C4:S4:4C2	192,1478
C₄⋊S₄⋊₅C₂ = C₂⁴.₁₀D₆	φ: trivial image	24	6	C4:S4:5C2	192,1471

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊S₄.₁C₂ = C₈⋊₂S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊S₄	24	6	C4:S4.1C2	192,960
C₄⋊S₄.₂C₂ = Q₈⋊₃S₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊S₄	24	6	C4:S4.2C2	192,976

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