Extensions 1→N→G→Q→1 with N=C₅×Dic₉ and Q=C₂

Direct product G=N×Q with N=C₅×Dic₉ and Q=C₂

		d	ρ	Label	ID
C₁₀×Dic₉		360		C10xDic9	360,23

Semidirect products G=N:Q with N=C₅×Dic₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₉)⋊₁C₂ = D₉₀.C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₉	180	4+	(C5xDic9):1C2	360,9
(C₅×Dic₉)⋊₂C₂ = D₅×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₉	180	4-	(C5xDic9):2C2	360,11
(C₅×Dic₉)⋊₃C₂ = C₉⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₉	180	4+	(C5xDic9):3C2	360,13
(C₅×Dic₉)⋊₄C₂ = C₅×C₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₉	180	2	(C5xDic9):4C2	360,24
(C₅×Dic₉)⋊₅C₂ = D₉×C₂₀	φ: trivial image	180	2	(C5xDic9):5C2	360,21

Non-split extensions G=N.Q with N=C₅×Dic₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₉).₁C₂ = C₄₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₉	360	4-	(C5xDic9).1C2	360,7
(C₅×Dic₉).₂C₂ = C₅×Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×Dic₉	360	2	(C5xDic9).2C2	360,20

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