Extensions 1→N→G→Q→1 with N=C₅×D₄ and Q=C₆

Direct product G=N×Q with N=C₅×D₄ and Q=C₆

		d	ρ	Label	ID
D₄×C₃₀		120		D4xC30	240,186

Semidirect products G=N:Q with N=C₅×D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄)⋊₁C₆ = C₃×D₄⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅×D₄	120	4	(C5xD4):1C6	240,44
(C₅×D₄)⋊₂C₆ = C₃×D₄×D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅×D₄	60	4	(C5xD4):2C6	240,159
(C₅×D₄)⋊₃C₆ = C₃×D₄⋊₂D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅×D₄	120	4	(C5xD4):3C6	240,160
(C₅×D₄)⋊₄C₆ = C₁₅×D₈	φ: C₆/C₃ → C₂ ⊆ Out C₅×D₄	120	2	(C5xD4):4C6	240,86
(C₅×D₄)⋊₅C₆ = C₁₅×C₄○D₄	φ: trivial image	120	2	(C5xD4):5C6	240,188

Non-split extensions G=N.Q with N=C₅×D₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄).₁C₆ = C₃×D₄.D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅×D₄	120	4	(C5xD4).1C6	240,45
(C₅×D₄).₂C₆ = C₁₅×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₅×D₄	120	2	(C5xD4).2C6	240,87

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