Extensions 1→N→G→Q→1 with N=C₃×D₅ and Q=D₄

Direct product G=N×Q with N=C₃×D₅ and Q=D₄

		d	ρ	Label	ID
C₃×D₄×D₅		60	4	C3xD4xD5	240,159

Semidirect products G=N:Q with N=C₃×D₅ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅)⋊₁D₄ = D₅×D₁₂	φ: D₄/C₄ → C₂ ⊆ Out C₃×D₅	60	4+	(C3xD5):1D4	240,136
(C₃×D₅)⋊₂D₄ = D₅×C₃⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5):2D4	240,149

Non-split extensions G=N.Q with N=C₃×D₅ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅).₁D₄ = D₆⋊F₅	φ: D₄/C₂ → C₂² ⊆ Out C₃×D₅	60	8+	(C3xD5).1D4	240,96
(C₃×D₅).₂D₄ = Dic₃⋊F₅	φ: D₄/C₂ → C₂² ⊆ Out C₃×D₅	60	8-	(C3xD5).2D4	240,97
(C₃×D₅).₃D₄ = C₆₀⋊C₄	φ: D₄/C₄ → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5).3D4	240,121
(C₃×D₅).₄D₄ = C₃×C₄⋊F₅	φ: D₄/C₄ → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5).4D4	240,114
(C₃×D₅).₅D₄ = D₁₀.D₆	φ: D₄/C₂² → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5).5D4	240,124
(C₃×D₅).₆D₄ = C₃×C₂²⋊F₅	φ: D₄/C₂² → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5).6D4	240,117

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