Extensions 1→N→G→Q→1 with N=C₆×D₅ and Q=C₄

Direct product G=N×Q with N=C₆×D₅ and Q=C₄

		d	ρ	Label	ID
D₅×C₂×C₁₂		120		D5xC2xC12	240,156

Semidirect products G=N:Q with N=C₆×D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₅)⋊₁C₄ = D₁₀⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₅	120		(C6xD5):1C4	240,26
(C₆×D₅)⋊₂C₄ = C₂×D₅×Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₅	120		(C6xD5):2C4	240,139
(C₆×D₅)⋊₃C₄ = C₃×D₁₀⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₅	120		(C6xD5):3C4	240,43
(C₆×D₅)⋊₄C₄ = D₁₀.D₆	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5):4C4	240,124
(C₆×D₅)⋊₅C₄ = C₂²×C₃⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₅	60		(C6xD5):5C4	240,201
(C₆×D₅)⋊₆C₄ = C₃×C₂²⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₅	60	4	(C6xD5):6C4	240,117
(C₆×D₅)⋊₇C₄ = C₂×C₆×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₅	60		(C6xD5):7C4	240,200

Non-split extensions G=N.Q with N=C₆×D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₅).₁C₄ = D₅×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₅	120	4	(C6xD5).1C4	240,7
(C₆×D₅).₂C₄ = C₂₀.₃₂D₆	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₅	120	4	(C6xD5).2C4	240,10
(C₆×D₅).₃C₄ = C₃×C₈⋊D₅	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₅	120	2	(C6xD5).3C4	240,34
(C₆×D₅).₄C₄ = C₆₀.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₅	120	4	(C6xD5).4C4	240,118
(C₆×D₅).₅C₄ = C₁₂.F₅	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₅	120	4	(C6xD5).5C4	240,119
(C₆×D₅).₆C₄ = C₃×D₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₅	120	4	(C6xD5).6C4	240,111
(C₆×D₅).₇C₄ = C₃×C₄.F₅	φ: C₄/C₂ → C₂ ⊆ Out C₆×D₅	120	4	(C6xD5).7C4	240,112
(C₆×D₅).₈C₄ = D₅×C₂₄	φ: trivial image	120	2	(C6xD5).8C4	240,33

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