Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×Dic₉

Direct product G=N×Q with N=C₅ and Q=C₂×Dic₉

		d	ρ	Label	ID
C₁₀×Dic₉		360		C10xDic9	360,23

Semidirect products G=N:Q with N=C₅ and Q=C₂×Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×Dic₉) = C₂×C₉⋊F₅	φ: C₂×Dic₉/C₁₈ → C₄ ⊆ Aut C₅	90	4	C5:(C2xDic9)	360,44
C₅⋊₂(C₂×Dic₉) = D₅×Dic₉	φ: C₂×Dic₉/Dic₉ → C₂ ⊆ Aut C₅	180	4-	C5:2(C2xDic9)	360,11
C₅⋊₃(C₂×Dic₉) = C₂×Dic₄₅	φ: C₂×Dic₉/C₂×C₁₈ → C₂ ⊆ Aut C₅	360		C5:3(C2xDic9)	360,28

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁