Extensions 1→N→G→Q→1 with N=C₂×Dic₆ and Q=C₁₀

Direct product G=N×Q with N=C₂×Dic₆ and Q=C₁₀

		d	ρ	Label	ID
C₂×C₁₀×Dic₆		480		C2xC10xDic6	480,1150

Semidirect products G=N:Q with N=C₂×Dic₆ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₆)⋊₁C₁₀ = C₅×C₄²⋊₇S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):1C10	480,754
(C₂×Dic₆)⋊₂C₁₀ = C₅×Dic₃.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):2C10	480,757
(C₂×Dic₆)⋊₃C₁₀ = C₅×C₂³.₁₁D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):3C10	480,764
(C₂×Dic₆)⋊₄C₁₀ = C₅×D₆⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):4C10	480,775
(C₂×Dic₆)⋊₅C₁₀ = C₁₀×C₂₄⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):5C10	480,781
(C₂×Dic₆)⋊₆C₁₀ = C₅×C₁₂.₄₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):6C10	480,803
(C₂×Dic₆)⋊₇C₁₀ = C₅×C₄.D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):7C10	480,776
(C₂×Dic₆)⋊₈C₁₀ = C₅×C₈.D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240	4	(C2xDic6):8C10	480,788
(C₂×Dic₆)⋊₉C₁₀ = C₁₀×D₄.S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):9C10	480,812
(C₂×Dic₆)⋊₁₀C₁₀ = C₅×C₂³.₁₂D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):10C10	480,815
(C₂×Dic₆)⋊₁₁C₁₀ = C₅×Q₈.₁₄D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240	4	(C2xDic6):11C10	480,830
(C₂×Dic₆)⋊₁₂C₁₀ = C₁₀×D₄⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):12C10	480,1155
(C₂×Dic₆)⋊₁₃C₁₀ = S₃×Q₈×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):13C10	480,1157
(C₂×Dic₆)⋊₁₄C₁₀ = C₅×Q₈○D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240	4	(C2xDic6):14C10	480,1162
(C₂×Dic₆)⋊₁₅C₁₀ = C₁₀×C₄○D₁₂	φ: trivial image	240		(C2xDic6):15C10	480,1153

Non-split extensions G=N.Q with N=C₂×Dic₆ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₆).₁C₁₀ = C₅×C₂.Dic₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).1C10	480,135
(C₂×Dic₆).₂C₁₀ = C₅×C₁₂⋊₂Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).2C10	480,748
(C₂×Dic₆).₃C₁₀ = C₅×C₁₂⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).3C10	480,767
(C₂×Dic₆).₄C₁₀ = C₁₀×Dic₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).4C10	480,784
(C₂×Dic₆).₅C₁₀ = C₅×C₆.SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).5C10	480,129
(C₂×Dic₆).₆C₁₀ = C₅×C₁₂.₄₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	240	4	(C2xDic6).6C10	480,143
(C₂×Dic₆).₇C₁₀ = C₅×Dic₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).7C10	480,766
(C₂×Dic₆).₈C₁₀ = C₁₀×C₃⋊Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).8C10	480,822
(C₂×Dic₆).₉C₁₀ = C₅×Dic₃⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).9C10	480,823
(C₂×Dic₆).₁₀C₁₀ = C₂₀×Dic₆	φ: trivial image	480		(C2xDic6).10C10	480,747

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