Extensions 1→N→G→Q→1 with N=C₅ and Q=Dic₃

Direct product G=N×Q with N=C₅ and Q=Dic₃

		d	ρ	Label	ID
C₅×Dic₃		60	2	C5xDic3	60,1

Semidirect products G=N:Q with N=C₅ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊Dic₃ = C₃⋊F₅	φ: Dic₃/C₃ → C₄ ⊆ Aut C₅	15	4	C5:Dic3	60,7
C₅⋊₂Dic₃ = Dic₁₅	φ: Dic₃/C₆ → C₂ ⊆ Aut C₅	60	2-	C5:2Dic3	60,3

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁