Extensions 1→N→G→Q→1 with N=C₅ and Q=Dic₂₃

Direct product G=N×Q with N=C₅ and Q=Dic₂₃

		d	ρ	Label	ID
C₅×Dic₂₃		460	2	C5xDic23	460,2

Semidirect products G=N:Q with N=C₅ and Q=Dic₂₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊Dic₂₃ = C₂₃⋊F₅	φ: Dic₂₃/C₂₃ → C₄ ⊆ Aut C₅	115	4	C5:Dic23	460,6
C₅⋊₂Dic₂₃ = Dic₁₁₅	φ: Dic₂₃/C₄₆ → C₂ ⊆ Aut C₅	460	2-	C5:2Dic23	460,3

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁