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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₅)⋊₁C₆ = C₃×D₅×D₈	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	120	4	(C8xD5):1C6	480,703
(C₈×D₅)⋊₂C₆ = C₃×D₈⋊₃D₅	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5):2C6	480,705
(C₈×D₅)⋊₃C₆ = C₃×Q₈.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5):3C6	480,712
(C₈×D₅)⋊₄C₆ = C₃×D₅×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	120	4	(C8xD5):4C6	480,706
(C₈×D₅)⋊₅C₆ = C₃×SD₁₆⋊₃D₅	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5):5C6	480,709
(C₈×D₅)⋊₆C₆ = C₃×D₂₀.₃C₄	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	240	2	(C8xD5):6C6	480,694
(C₈×D₅)⋊₇C₆ = C₃×D₅×M₄(2)	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	120	4	(C8xD5):7C6	480,699
(C₈×D₅)⋊₈C₆ = C₃×D₂₀.₂C₄	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5):8C6	480,700

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₅).₁C₆ = C₃×D₅×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5).1C6	480,710
(C₈×D₅).₂C₆ = C₃×C₈₀⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	240	2	(C8xD5).2C6	480,76
(C₈×D₅).₃C₆ = C₃×D₅.D₈	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	120	4	(C8xD5).3C6	480,274
(C₈×D₅).₄C₆ = C₃×D₁₀.Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5).4C6	480,276
(C₈×D₅).₅C₆ = C₃×C₄₀⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	120	4	(C8xD5).5C6	480,273
(C₈×D₅).₆C₆ = C₃×C₄₀.C₄	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5).6C6	480,275
(C₈×D₅).₇C₆ = C₃×D₅⋊C₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5).7C6	480,269
(C₈×D₅).₈C₆ = C₃×C₈.F₅	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	240	4	(C8xD5).8C6	480,270
(C₈×D₅).₉C₆ = F₅×C₂₄	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	120	4	(C8xD5).9C6	480,271
(C₈×D₅).₁₀C₆ = C₃×C₈⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₈×D₅	120	4	(C8xD5).10C6	480,272
(C₈×D₅).₁₁C₆ = D₅×C₄₈	φ: trivial image	240	2	(C8xD5).11C6	480,75

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