Extensions 1→N→G→Q→1 with N=C₄×A₄ and Q=D₅

Direct product G=N×Q with N=C₄×A₄ and Q=D₅

		d	ρ	Label	ID
C₄×D₅×A₄		60	6	C4xD5xA4	480,1036

Semidirect products G=N:Q with N=C₄×A₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₄)⋊₁D₅ = C₂₀⋊S₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×A₄	60	6+	(C4xA4):1D5	480,1026
(C₄×A₄)⋊₂D₅ = C₄×C₅⋊S₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×A₄	60	6	(C4xA4):2D5	480,1025
(C₄×A₄)⋊₃D₅ = A₄×D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×A₄	60	6+	(C4xA4):3D5	480,1037

Non-split extensions G=N.Q with N=C₄×A₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₄).₁D₅ = C₂₀.₁S₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×A₄	120	6-	(C4xA4).1D5	480,1024
(C₄×A₄).₂D₅ = C₂₀.S₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×A₄	120	6	(C4xA4).2D5	480,259
(C₄×A₄).₃D₅ = A₄×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×A₄	120	6-	(C4xA4).3D5	480,1035
(C₄×A₄).₄D₅ = A₄×C₅⋊₂C₈	φ: trivial image	120	6	(C4xA4).4D5	480,265

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