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

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

		d	ρ	Label	ID
C₅×Dic₉		180	2	C5xDic9	180,1

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊Dic₉ = C₉⋊F₅	φ: Dic₉/C₉ → C₄ ⊆ Aut C₅	45	4	C5:Dic9	180,6
C₅⋊₂Dic₉ = Dic₄₅	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₅	180	2-	C5:2Dic9	180,3

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁