Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×Dic₃

Direct product G=N×Q with N=C₅ and Q=C₃×Dic₃

		d	ρ	Label	ID
Dic₃×C₁₅		60	2	Dic3xC15	180,14

Semidirect products G=N:Q with N=C₅ and Q=C₃×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₃×Dic₃) = C₃×C₃⋊F₅	φ: C₃×Dic₃/C₃² → C₄ ⊆ Aut C₅	30	4	C5:(C3xDic3)	180,21
C₅⋊₂(C₃×Dic₃) = C₃×Dic₁₅	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Aut C₅	60	2	C5:2(C3xDic3)	180,15

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁