Extensions 1→N→G→Q→1 with N=C₆×D₅ and Q=C₈

Direct product G=N×Q with N=C₆×D₅ and Q=C₈

		d	ρ	Label	ID
D₅×C₂×C₂₄		240		D5xC2xC24	480,692

Semidirect products G=N:Q with N=C₆×D₅ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₅)⋊₁C₈ = C₆₀.₉₃D₄	φ: C₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5):1C8	480,31
(C₆×D₅)⋊₂C₈ = C₂×D₅×C₃⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5):2C8	480,357
(C₆×D₅)⋊₃C₈ = C₃×D₁₀⋊₁C₈	φ: C₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5):3C8	480,98
(C₆×D₅)⋊₄C₈ = C₃₀.₇M₄(2)	φ: C₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5):4C8	480,308
(C₆×D₅)⋊₅C₈ = C₂×C₆₀.C₄	φ: C₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5):5C8	480,1060
(C₆×D₅)⋊₆C₈ = C₃×D₁₀⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5):6C8	480,283
(C₆×D₅)⋊₇C₈ = C₆×D₅⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5):7C8	480,1047

Non-split extensions G=N.Q with N=C₆×D₅ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₅).₁C₈ = D₅×C₃⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₆×D₅	240	4	(C6xD5).1C8	480,7
(C₆×D₅).₂C₈ = C₄₀.₅₁D₆	φ: C₈/C₄ → C₂ ⊆ Out C₆×D₅	240	4	(C6xD5).2C8	480,10
(C₆×D₅).₃C₈ = C₃×C₈₀⋊C₂	φ: C₈/C₄ → C₂ ⊆ Out C₆×D₅	240	2	(C6xD5).3C8	480,76
(C₆×D₅).₄C₈ = C₂₄.F₅	φ: C₈/C₄ → C₂ ⊆ Out C₆×D₅	240	4	(C6xD5).4C8	480,294
(C₆×D₅).₅C₈ = C₁₂₀.C₄	φ: C₈/C₄ → C₂ ⊆ Out C₆×D₅	240	4	(C6xD5).5C8	480,295
(C₆×D₅).₆C₈ = C₃×D₅⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₆×D₅	240	4	(C6xD5).6C8	480,269
(C₆×D₅).₇C₈ = C₃×C₈.F₅	φ: C₈/C₄ → C₂ ⊆ Out C₆×D₅	240	4	(C6xD5).7C8	480,270
(C₆×D₅).₈C₈ = D₅×C₄₈	φ: trivial image	240	2	(C6xD5).8C8	480,75

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