Extensions 1→N→G→Q→1 with N=C₂²×Dic₃ and Q=C₁₀

Direct product G=N×Q with N=C₂²×Dic₃ and Q=C₁₀

		d	ρ	Label	ID
Dic₃×C₂²×C₁₀		480		Dic3xC2^2xC10	480,1163

Semidirect products G=N:Q with N=C₂²×Dic₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Dic₃)⋊₁C₁₀ = C₅×Dic₃⋊₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):1C10	480,760
(C₂²×Dic₃)⋊₂C₁₀ = C₅×C₂³.₂₁D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):2C10	480,765
(C₂²×Dic₃)⋊₃C₁₀ = C₁₀×D₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):3C10	480,806
(C₂²×Dic₃)⋊₄C₁₀ = C₅×D₄×Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):4C10	480,813
(C₂²×Dic₃)⋊₅C₁₀ = C₅×C₂³.₂₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):5C10	480,814
(C₂²×Dic₃)⋊₆C₁₀ = C₅×C₂³.₁₄D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):6C10	480,818
(C₂²×Dic₃)⋊₇C₁₀ = C₁₀×C₆.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):7C10	480,831
(C₂²×Dic₃)⋊₈C₁₀ = C₁₀×D₄⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):8C10	480,1155
(C₂²×Dic₃)⋊₉C₁₀ = C₂×C₁₀×C₃⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3):9C10	480,1164
(C₂²×Dic₃)⋊₁₀C₁₀ = S₃×C₂²×C₂₀	φ: trivial image	240		(C2^2xDic3):10C10	480,1151

Non-split extensions G=N.Q with N=C₂²×Dic₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Dic₃).₁C₁₀ = C₅×C₆.C₄²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	480		(C2^2xDic3).1C10	480,150
(C₂²×Dic₃).₂C₁₀ = C₅×C₂³.₁₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3).2C10	480,756
(C₂²×Dic₃).₃C₁₀ = C₅×Dic₃.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	240		(C2^2xDic3).3C10	480,757
(C₂²×Dic₃).₄C₁₀ = C₁₀×Dic₃⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	480		(C2^2xDic3).4C10	480,802
(C₂²×Dic₃).₅C₁₀ = C₁₀×C₄⋊Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	480		(C2^2xDic3).5C10	480,804
(C₂²×Dic₃).₆C₁₀ = C₂×C₁₀×Dic₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×Dic₃	480		(C2^2xDic3).6C10	480,1150
(C₂²×Dic₃).₇C₁₀ = Dic₃×C₂×C₂₀	φ: trivial image	480		(C2^2xDic3).7C10	480,801

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