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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁D₅ = D₄⋊D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×D₄	120	4+	(C3xD4):1D5	240,76
(C₃×D₄)⋊₂D₅ = D₄×D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×D₄	60	4+	(C3xD4):2D5	240,179
(C₃×D₄)⋊₃D₅ = D₄⋊₂D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×D₄	120	4-	(C3xD4):3D5	240,180
(C₃×D₄)⋊₄D₅ = C₃×D₄⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×D₄	120	4	(C3xD4):4D5	240,44
(C₃×D₄)⋊₅D₅ = C₃×D₄⋊₂D₅	φ: trivial image	120	4	(C3xD4):5D5	240,160

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).₁D₅ = D₄.D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×D₄	120	4-	(C3xD4).1D5	240,77
(C₃×D₄).₂D₅ = C₃×D₄.D₅	φ: D₅/C₅ → C₂ ⊆ Out C₃×D₄	120	4	(C3xD4).2D5	240,45

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