Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×A₅

Direct product G=N×Q with N=C₄ and Q=C₂×A₅

		d	ρ	Label	ID
C₂×C₄×A₅		40		C2xC4xA5	480,954

Semidirect products G=N:Q with N=C₄ and Q=C₂×A₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×A₅) = D₄×A₅	φ: C₂×A₅/A₅ → C₂ ⊆ Aut C₄	20	6+	C4:(C2xA5)	480,956

Non-split extensions G=N.Q with N=C₄ and Q=C₂×A₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×A₅) = D₄.A₅	φ: C₂×A₅/A₅ → C₂ ⊆ Aut C₄	48	4-	C4.1(C2xA5)	480,957
C₄.₂(C₂×A₅) = Q₈×A₅	φ: C₂×A₅/A₅ → C₂ ⊆ Aut C₄	40	6-	C4.2(C2xA5)	480,958
C₄.₃(C₂×A₅) = Q₈.A₅	φ: C₂×A₅/A₅ → C₂ ⊆ Aut C₄	48	4+	C4.3(C2xA5)	480,959
C₄.₄(C₂×A₅) = C₈×A₅	central extension (φ=1)	40	3	C4.4(C2xA5)	480,220
C₄.₅(C₂×A₅) = C₈.A₅	central extension (φ=1)	48	2	C4.5(C2xA5)	480,221
C₄.₆(C₂×A₅) = C₂×C₄.A₅	central extension (φ=1)	48		C4.6(C2xA5)	480,955

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