Extensions 1→N→G→Q→1 with N=D₅×Dic₅ and Q=C₂

Direct product G=N×Q with N=D₅×Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂×D₅×Dic₅		80		C2xD5xDic5	400,172

Semidirect products G=N:Q with N=D₅×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×Dic₅)⋊₁C₂ = D₂₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₅	40	4	(D5xDic5):1C2	400,165
(D₅×Dic₅)⋊₂C₂ = D₁₀.₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₅	40	4-	(D5xDic5):2C2	400,174
(D₅×Dic₅)⋊₃C₂ = D₅×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₅	40	4	(D5xDic5):3C2	400,179
(D₅×Dic₅)⋊₄C₂ = D₂₀⋊₅D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₅	80	4-	(D5xDic5):4C2	400,164
(D₅×Dic₅)⋊₅C₂ = Dic₅.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₅	40	4	(D5xDic5):5C2	400,173
(D₅×Dic₅)⋊₆C₂ = C₄×D₅²	φ: trivial image	40	4	(D5xDic5):6C2	400,169

Non-split extensions G=N.Q with N=D₅×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×Dic₅).₁C₂ = D₅×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₅	80	4-	(D5xDic5).1C2	400,163
(D₅×Dic₅).₂C₂ = D₅×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₅	80	8-	(D5xDic5).2C2	400,120
(D₅×Dic₅).₃C₂ = D₁₀.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₅	80	8-	(D5xDic5).3C2	400,122
(D₅×Dic₅).₄C₂ = D₅.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₅	80	8-	(D5xDic5).4C2	400,119
(D₅×Dic₅).₅C₂ = C₅²⋊₄M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₅	80	8-	(D5xDic5).5C2	400,128
(D₅×Dic₅).₆C₂ = Dic₅×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₅	80	8-	(D5xDic5).6C2	400,117
(D₅×Dic₅).₇C₂ = D₁₀.₂F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×Dic₅	80	8-	(D5xDic5).7C2	400,127

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