Extensions 1→N→G→Q→1 with N=C₆×D₅ and Q=Q₈

Direct product G=N×Q with N=C₆×D₅ and Q=Q₈

		d	ρ	Label	ID
C₆×Q₈×D₅		240		C6xQ8xD5	480,1142

Semidirect products G=N:Q with N=C₆×D₅ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₅)⋊₁Q₈ = D₁₀⋊₁Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out C₆×D₅	240		(C6xD5):1Q8	480,497
(C₆×D₅)⋊₂Q₈ = D₁₀⋊₂Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out C₆×D₅	240		(C6xD5):2Q8	480,498
(C₆×D₅)⋊₃Q₈ = Dic₁₅.D₄	φ: Q₈/C₂ → C₂² ⊆ Out C₆×D₅	240		(C6xD5):3Q8	480,506
(C₆×D₅)⋊₄Q₈ = D₁₀⋊₄Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out C₆×D₅	240		(C6xD5):4Q8	480,507
(C₆×D₅)⋊₅Q₈ = D₁₀⋊Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5):5Q8	480,425
(C₆×D₅)⋊₆Q₈ = C₆₀.₆₇D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5):6Q8	480,435
(C₆×D₅)⋊₇Q₈ = C₆₀.₆₈D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5):7Q8	480,436
(C₆×D₅)⋊₈Q₈ = C₂×D₅×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5):8Q8	480,1073
(C₆×D₅)⋊₉Q₈ = C₃×D₁₀⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5):9Q8	480,689
(C₆×D₅)⋊₁₀Q₈ = C₃×D₁₀⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5):10Q8	480,690
(C₆×D₅)⋊₁₁Q₈ = C₃×D₁₀⋊₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5):11Q8	480,739

Non-split extensions G=N.Q with N=C₆×D₅ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₅).₁Q₈ = D₁₀.Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out C₆×D₅	240	8	(C6xD5).1Q8	480,237
(C₆×D₅).₂Q₈ = D₁₀.₂Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out C₆×D₅	240	8	(C6xD5).2Q8	480,238
(C₆×D₅).₃Q₈ = D₁₀.₂₀D₁₂	φ: Q₈/C₂ → C₂² ⊆ Out C₆×D₅	120		(C6xD5).3Q8	480,243
(C₆×D₅).₄Q₈ = C₂×Dic₃⋊F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₆×D₅	120		(C6xD5).4Q8	480,1001
(C₆×D₅).₅Q₈ = D₅×Dic₃⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5).5Q8	480,468
(C₆×D₅).₆Q₈ = D₅×C₄⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	240		(C6xD5).6Q8	480,488
(C₆×D₅).₇Q₈ = C₄₀.Dic₃	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	240	4	(C6xD5).7Q8	480,300
(C₆×D₅).₈Q₈ = C₂₄.₁F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	240	4	(C6xD5).8Q8	480,301
(C₆×D₅).₉Q₈ = D₁₀.₁₀D₁₂	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	120		(C6xD5).9Q8	480,311
(C₆×D₅).₁₀Q₈ = C₂×C₆₀⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	120		(C6xD5).10Q8	480,1064
(C₆×D₅).₁₁Q₈ = C₃×C₄₀.C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	240	4	(C6xD5).11Q8	480,275
(C₆×D₅).₁₂Q₈ = C₃×D₁₀.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	240	4	(C6xD5).12Q8	480,276
(C₆×D₅).₁₃Q₈ = C₃×D₁₀.₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	120		(C6xD5).13Q8	480,286
(C₆×D₅).₁₄Q₈ = C₆×C₄⋊F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₆×D₅	120		(C6xD5).14Q8	480,1051
(C₆×D₅).₁₅Q₈ = C₃×D₅×C₄⋊C₄	φ: trivial image	240		(C6xD5).15Q8	480,684

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