Extensions 1→N→G→Q→1 with N=D₄×D₅ and Q=C₆

Direct product G=N×Q with N=D₄×D₅ and Q=C₆

		d	ρ	Label	ID
C₆×D₄×D₅		120		C6xD4xD5	480,1139

Semidirect products G=N:Q with N=D₄×D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₅)⋊₁C₆ = C₃×D₅×D₈	φ: C₆/C₃ → C₂ ⊆ Out D₄×D₅	120	4	(D4xD5):1C6	480,703
(D₄×D₅)⋊₂C₆ = C₃×D₈⋊D₅	φ: C₆/C₃ → C₂ ⊆ Out D₄×D₅	120	4	(D4xD5):2C6	480,704
(D₄×D₅)⋊₃C₆ = C₃×D₄₀⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out D₄×D₅	120	4	(D4xD5):3C6	480,707
(D₄×D₅)⋊₄C₆ = C₃×D₄⋊₆D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄×D₅	120	4	(D4xD5):4C6	480,1141
(D₄×D₅)⋊₅C₆ = C₃×D₄⋊₈D₁₀	φ: C₆/C₃ → C₂ ⊆ Out D₄×D₅	120	4	(D4xD5):5C6	480,1146
(D₄×D₅)⋊₆C₆ = C₃×D₅×C₄○D₄	φ: trivial image	120	4	(D4xD5):6C6	480,1145

Non-split extensions G=N.Q with N=D₄×D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₅).₁C₆ = C₃×D₅×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out D₄×D₅	120	4	(D4xD5).1C6	480,706
(D₄×D₅).₂C₆ = C₃×D₂₀⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out D₄×D₅	120	8	(D4xD5).2C6	480,287
(D₄×D₅).₃C₆ = C₃×D₄×F₅	φ: C₆/C₃ → C₂ ⊆ Out D₄×D₅	60	8	(D4xD5).3C6	480,1054

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