Extensions 1→N→G→Q→1 with N=C₅ and Q=Dic₁₁

Direct product G=N×Q with N=C₅ and Q=Dic₁₁

		d	ρ	Label	ID
C₅×Dic₁₁		220	2	C5xDic11	220,4

Semidirect products G=N:Q with N=C₅ and Q=Dic₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊Dic₁₁ = C₁₁⋊F₅	φ: Dic₁₁/C₁₁ → C₄ ⊆ Aut C₅	55	4	C5:Dic11	220,10
C₅⋊₂Dic₁₁ = Dic₅₅	φ: Dic₁₁/C₂₂ → C₂ ⊆ Aut C₅	220	2-	C5:2Dic11	220,5

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁