Extensions 1→N→G→Q→1 with N=C₄ and Q=S₅

Direct product G=N×Q with N=C₄ and Q=S₅

		d	ρ	Label	ID
C₄×S₅		20	4	C4xS5	480,943

Semidirect products G=N:Q with N=C₄ and Q=S₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊S₅ = C₄⋊S₅	φ: S₅/A₅ → C₂ ⊆ Aut C₄	20	6	C4:S5	480,944

Non-split extensions G=N.Q with N=C₄ and Q=S₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁S₅ = A₅⋊Q₈	φ: S₅/A₅ → C₂ ⊆ Aut C₄	24	6	C4.1S5	480,945
C₄.₂S₅ = C₄.S₅	φ: S₅/A₅ → C₂ ⊆ Aut C₄	48	4	C4.2S5	480,947
C₄.₃S₅ = C₄.₃S₅	φ: S₅/A₅ → C₂ ⊆ Aut C₄	40	4	C4.3S5	480,948
C₄.₄S₅ = A₅⋊C₈	central extension (φ=1)	40	4	C4.4S5	480,217
C₄.₅S₅ = GL₂(𝔽₅)	central extension (φ=1)	24	4	C4.5S5	480,218
C₄.₆S₅ = C₄.₆S₅	central extension (φ=1)	48	4	C4.6S5	480,946

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