Extensions 1→N→G→Q→1 with N=C₂²×Dic₅ and Q=C₂

Direct product G=N×Q with N=C₂²×Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂³×Dic₅		160		C2^3xDic5	160,226

Semidirect products G=N:Q with N=C₂²×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Dic₅)⋊₁C₂ = Dic₅⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	80		(C2^2xDic5):1C2	160,102
(C₂²×Dic₅)⋊₂C₂ = C₂².D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	80		(C2^2xDic5):2C2	160,107
(C₂²×Dic₅)⋊₃C₂ = C₂×D₁₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	80		(C2^2xDic5):3C2	160,148
(C₂²×Dic₅)⋊₄C₂ = D₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	80		(C2^2xDic5):4C2	160,155
(C₂²×Dic₅)⋊₅C₂ = C₂³.₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	80		(C2^2xDic5):5C2	160,156
(C₂²×Dic₅)⋊₆C₂ = Dic₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	80		(C2^2xDic5):6C2	160,160
(C₂²×Dic₅)⋊₇C₂ = C₂×C₂³.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	80		(C2^2xDic5):7C2	160,173
(C₂²×Dic₅)⋊₈C₂ = C₂×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	80		(C2^2xDic5):8C2	160,218
(C₂²×Dic₅)⋊₉C₂ = C₂²×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	80		(C2^2xDic5):9C2	160,227
(C₂²×Dic₅)⋊₁₀C₂ = D₅×C₂²×C₄	φ: trivial image	80		(C2^2xDic5):10C2	160,214

Non-split extensions G=N.Q with N=C₂²×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Dic₅).₁C₂ = C₁₀.₁₀C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	160		(C2^2xDic5).1C2	160,38
(C₂²×Dic₅).₂C₂ = C₂³.₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	80		(C2^2xDic5).2C2	160,98
(C₂²×Dic₅).₃C₂ = Dic₅.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	80		(C2^2xDic5).3C2	160,99
(C₂²×Dic₅).₄C₂ = C₂×C₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	160		(C2^2xDic5).4C2	160,144
(C₂²×Dic₅).₅C₂ = C₂×C₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	160		(C2^2xDic5).5C2	160,146
(C₂²×Dic₅).₆C₂ = C₂²×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	160		(C2^2xDic5).6C2	160,213
(C₂²×Dic₅).₇C₂ = C₂³.₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	80		(C2^2xDic5).7C2	160,87
(C₂²×Dic₅).₈C₂ = C₂²×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	160		(C2^2xDic5).8C2	160,210
(C₂²×Dic₅).₉C₂ = C₂×C₂².F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×Dic₅	80		(C2^2xDic5).9C2	160,211
(C₂²×Dic₅).₁₀C₂ = C₂×C₄×Dic₅	φ: trivial image	160		(C2^2xDic5).10C2	160,143

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