Extensions 1→N→G→Q→1 with N=C₆×Q₈ and Q=C₁₀

Direct product G=N×Q with N=C₆×Q₈ and Q=C₁₀

		d	ρ	Label	ID
Q₈×C₂×C₃₀		480		Q8xC2xC30	480,1182

Semidirect products G=N:Q with N=C₆×Q₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Q₈)⋊₁C₁₀ = C₁₀×Q₈⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	240		(C6xQ8):1C10	480,820
(C₆×Q₈)⋊₂C₁₀ = C₅×Q₈.₁₁D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	240	4	(C6xQ8):2C10	480,821
(C₆×Q₈)⋊₃C₁₀ = C₅×D₆⋊₃Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	240		(C6xQ8):3C10	480,825
(C₆×Q₈)⋊₄C₁₀ = C₅×C₁₂.₂₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	240		(C6xQ8):4C10	480,826
(C₆×Q₈)⋊₅C₁₀ = S₃×Q₈×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	240		(C6xQ8):5C10	480,1157
(C₆×Q₈)⋊₆C₁₀ = C₁₀×Q₈⋊₃S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	240		(C6xQ8):6C10	480,1158
(C₆×Q₈)⋊₇C₁₀ = C₅×Q₈.₁₅D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	240	4	(C6xQ8):7C10	480,1159
(C₆×Q₈)⋊₈C₁₀ = C₁₅×C₂²⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	240		(C6xQ8):8C10	480,927
(C₆×Q₈)⋊₉C₁₀ = C₁₅×C₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	240		(C6xQ8):9C10	480,929
(C₆×Q₈)⋊₁₀C₁₀ = SD₁₆×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	240		(C6xQ8):10C10	480,938
(C₆×Q₈)⋊₁₁C₁₀ = C₁₅×C₈.C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	240	4	(C6xQ8):11C10	480,942
(C₆×Q₈)⋊₁₂C₁₀ = C₁₅×2_-¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	240	4	(C6xQ8):12C10	480,1185
(C₆×Q₈)⋊₁₃C₁₀ = C₄○D₄×C₃₀	φ: trivial image	240		(C6xQ8):13C10	480,1183

Non-split extensions G=N.Q with N=C₆×Q₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×Q₈).₁C₁₀ = C₅×Q₈⋊₂Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	480		(C6xQ8).1C10	480,154
(C₆×Q₈).₂C₁₀ = C₅×C₁₂.₁₀D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	240	4	(C6xQ8).2C10	480,155
(C₆×Q₈).₃C₁₀ = C₁₀×C₃⋊Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	480		(C6xQ8).3C10	480,822
(C₆×Q₈).₄C₁₀ = C₅×Dic₃⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	480		(C6xQ8).4C10	480,823
(C₆×Q₈).₅C₁₀ = C₅×Q₈×Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	480		(C6xQ8).5C10	480,824
(C₆×Q₈).₆C₁₀ = C₁₅×C₄.₁₀D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	240	4	(C6xQ8).6C10	480,204
(C₆×Q₈).₇C₁₀ = C₁₅×Q₈⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	480		(C6xQ8).7C10	480,206
(C₆×Q₈).₈C₁₀ = C₁₅×C₄⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	480		(C6xQ8).8C10	480,933
(C₆×Q₈).₉C₁₀ = Q₁₆×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₆×Q₈	480		(C6xQ8).9C10	480,939
(C₆×Q₈).₁₀C₁₀ = Q₈×C₆₀	φ: trivial image	480		(C6xQ8).10C10	480,924

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