Extensions 1→N→G→Q→1 with N=Dic₉ and Q=D₅

Direct product G=N×Q with N=Dic₉ and Q=D₅

		d	ρ	Label	ID
D₅×Dic₉		180	4-	D5xDic9	360,11

Semidirect products G=N:Q with N=Dic₉ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉⋊D₅ = C₉⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out Dic₉	180	4+	Dic9:D5	360,13
Dic₉⋊₂D₅ = D₉₀.C₂	φ: trivial image	180	4+	Dic9:2D5	360,9

Non-split extensions G=N.Q with N=Dic₉ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉.D₅ = C₄₅⋊Q₈	φ: D₅/C₅ → C₂ ⊆ Out Dic₉	360	4-	Dic9.D5	360,7

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Dic9 and Q=D5