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

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

		d	ρ	Label	ID
C₂×C₄×S₄		24		C2xC4xS4	192,1469

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₄)⋊C₄ = C₂⁴.₅D₆	φ: C₄/C₂ → C₂ ⊆ Out C₂×S₄	24		(C2xS4):C4	192,972

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₄).C₄ = C₈⋊S₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×S₄	24	6	(C2xS4).C4	192,959
(C₂×S₄).₂C₄ = C₈×S₄	φ: trivial image	24	3	(C2xS4).2C4	192,958

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