Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=D₉

Direct product G=NxQ with N=C₂xC₁₀ and Q=D₉

		d	ρ	Label	ID
D₉xC₂xC₁₀		180		D9xC2xC10	360,48

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀):₁D₉ = C₅xC₃.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂xC₁₀	90	6	(C2xC10):1D9	360,40
(C₂xC₁₀):₂D₉ = C₂²:D₄₅	φ: D₉/C₃ → S₃ ⊆ Aut C₂xC₁₀	90	6+	(C2xC10):2D9	360,41
(C₂xC₁₀):₃D₉ = C₅xC₉:D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂xC₁₀	180	2	(C2xC10):3D9	360,24
(C₂xC₁₀):₄D₉ = C₄₅:₇D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂xC₁₀	180	2	(C2xC10):4D9	360,29
(C₂xC₁₀):₅D₉ = C₂²xD₄₅	φ: D₉/C₉ → C₂ ⊆ Aut C₂xC₁₀	180		(C2xC10):5D9	360,49

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).D₉ = C₂xDic₄₅	φ: D₉/C₉ → C₂ ⊆ Aut C₂xC₁₀	360		(C2xC10).D9	360,28
(C₂xC₁₀).₂D₉ = C₁₀xDic₉	central extension (φ=1)	360		(C2xC10).2D9	360,23

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