Extensions 1→N→G→Q→1 with N=C₂×A₅ and Q=C₂²

Direct product G=N×Q with N=C₂×A₅ and Q=C₂²

		d	ρ	Label	ID
C₂³×A₅		40		C2^3xA5	480,1187

Semidirect products G=N:Q with N=C₂×A₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₅)⋊C₂² = C₂²×S₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×A₅	20		(C2xA5):C2^2	480,1186

Non-split extensions G=N.Q with N=C₂×A₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₅).₁C₂² = C₄×S₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×A₅	20	4	(C2xA5).1C2^2	480,943
(C₂×A₅).₂C₂² = C₄⋊S₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×A₅	20	6	(C2xA5).2C2^2	480,944
(C₂×A₅).₃C₂² = A₅⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₂×A₅	24	6	(C2xA5).3C2^2	480,945
(C₂×A₅).₄C₂² = C₂²⋊S₅	φ: C₂²/C₂ → C₂ ⊆ Out C₂×A₅	20	6+	(C2xA5).4C2^2	480,951
(C₂×A₅).₅C₂² = C₂×A₅⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₂×A₅	24		(C2xA5).5C2^2	480,952
(C₂×A₅).₆C₂² = C₂×C₄×A₅	φ: trivial image	40		(C2xA5).6C2^2	480,954
(C₂×A₅).₇C₂² = D₄×A₅	φ: trivial image	20	6+	(C2xA5).7C2^2	480,956
(C₂×A₅).₈C₂² = Q₈×A₅	φ: trivial image	40	6-	(C2xA5).8C2^2	480,958

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