Extensions 1→N→G→Q→1 with N=C₁₀ and Q=Dic₉

Direct product G=N×Q with N=C₁₀ and Q=Dic₉

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

Semidirect products G=N:Q with N=C₁₀ and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊Dic₉ = C₂×C₉⋊F₅	φ: Dic₉/C₉ → C₄ ⊆ Aut C₁₀	90	4	C10:Dic9	360,44
C₁₀⋊₂Dic₉ = C₂×Dic₄₅	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₁₀	360		C10:2Dic9	360,28

Non-split extensions G=N.Q with N=C₁₀ and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.Dic₉ = C₄₅⋊C₈	φ: Dic₉/C₉ → C₄ ⊆ Aut C₁₀	360	4	C10.Dic9	360,6
C₁₀.₂Dic₉ = C₄₅⋊₃C₈	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₁₀	360	2	C10.2Dic9	360,3
C₁₀.₃Dic₉ = C₅×C₉⋊C₈	central extension (φ=1)	360	2	C10.3Dic9	360,1

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C10 and Q=Dic9