Extensions 1→N→G→Q→1 with N=C₄×Dic₃ and Q=C₁₀

Direct product G=N×Q with N=C₄×Dic₃ and Q=C₁₀

		d	ρ	Label	ID
Dic₃×C₂×C₂₀		480		Dic3xC2xC20	480,801

Semidirect products G=N:Q with N=C₄×Dic₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₃)⋊₁C₁₀ = C₅×D₁₂⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	120	4	(C4xDic3):1C10	480,144
(C₄×Dic₃)⋊₂C₁₀ = C₅×Q₈⋊₃Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	120	4	(C4xDic3):2C10	480,156
(C₄×Dic₃)⋊₃C₁₀ = C₅×Dic₃⋊₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):3C10	480,772
(C₄×Dic₃)⋊₄C₁₀ = C₅×D₄×Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):4C10	480,813
(C₄×Dic₃)⋊₅C₁₀ = C₅×C₂³.₁₂D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):5C10	480,815
(C₄×Dic₃)⋊₆C₁₀ = C₅×C₁₂⋊₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):6C10	480,819
(C₄×Dic₃)⋊₇C₁₀ = C₅×C₁₂.₂₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):7C10	480,826
(C₄×Dic₃)⋊₈C₁₀ = C₅×C₄²⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):8C10	480,751
(C₄×Dic₃)⋊₉C₁₀ = C₅×C₂³.₁₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):9C10	480,756
(C₄×Dic₃)⋊₁₀C₁₀ = C₅×C₂³.₈D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):10C10	480,758
(C₄×Dic₃)⋊₁₁C₁₀ = C₅×Dic₃⋊₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):11C10	480,760
(C₄×Dic₃)⋊₁₂C₁₀ = C₅×C₂³.₁₁D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):12C10	480,764
(C₄×Dic₃)⋊₁₃C₁₀ = C₅×C₄⋊C₄⋊₇S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):13C10	480,771
(C₄×Dic₃)⋊₁₄C₁₀ = C₅×C₄⋊C₄⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):14C10	480,777
(C₄×Dic₃)⋊₁₅C₁₀ = C₅×C₂³.₂₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):15C10	480,805
(C₄×Dic₃)⋊₁₆C₁₀ = C₂₀×C₃⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):16C10	480,807
(C₄×Dic₃)⋊₁₇C₁₀ = S₃×C₄×C₂₀	φ: trivial image	240		(C4xDic3):17C10	480,750

Non-split extensions G=N.Q with N=C₄×Dic₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₃).₁C₁₀ = C₅×Dic₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).1C10	480,766
(C₄×Dic₃).₂C₁₀ = C₅×C₁₂⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).2C10	480,767
(C₄×Dic₃).₃C₁₀ = C₅×C₄.Dic₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).3C10	480,769
(C₄×Dic₃).₄C₁₀ = C₅×Dic₃⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).4C10	480,823
(C₄×Dic₃).₅C₁₀ = C₅×Q₈×Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).5C10	480,824
(C₄×Dic₃).₆C₁₀ = C₅×Dic₃⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).6C10	480,133
(C₄×Dic₃).₇C₁₀ = C₅×C₂₄⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).7C10	480,134
(C₄×Dic₃).₈C₁₀ = C₂₀×Dic₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).8C10	480,747
(C₄×Dic₃).₉C₁₀ = C₅×Dic₃.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).9C10	480,768
(C₄×Dic₃).₁₀C₁₀ = Dic₃×C₄₀	φ: trivial image	480		(C4xDic3).10C10	480,132

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