Extensions 1→N→G→Q→1 with N=C₁₃ and Q=Dic₅

Direct product G=N×Q with N=C₁₃ and Q=Dic₅

		d	ρ	Label	ID
C₁₃×Dic₅		260	2	C13xDic5	260,1

Semidirect products G=N:Q with N=C₁₃ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊Dic₅ = C₆₅⋊C₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₁₃	65	4	C13:Dic5	260,6
C₁₃⋊₂Dic₅ = Dic₆₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₁₃	260	2-	C13:2Dic5	260,3

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁