Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=D₉

Direct product G=N×Q with N=C₂×C₁₀ and Q=D₉

		d	ρ	Label	ID
D₉×C₂×C₁₀		180		D9xC2xC10	360,48

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊₁D₉ = C₅×C₃.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂×C₁₀	90	6	(C2xC10):1D9	360,40
(C₂×C₁₀)⋊₂D₉ = C₂²⋊D₄₅	φ: D₉/C₃ → S₃ ⊆ Aut C₂×C₁₀	90	6+	(C2xC10):2D9	360,41
(C₂×C₁₀)⋊₃D₉ = C₅×C₉⋊D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₁₀	180	2	(C2xC10):3D9	360,24
(C₂×C₁₀)⋊₄D₉ = C₄₅⋊₇D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₁₀	180	2	(C2xC10):4D9	360,29
(C₂×C₁₀)⋊₅D₉ = C₂²×D₄₅	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₁₀	180		(C2xC10):5D9	360,49

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).D₉ = C₂×Dic₄₅	φ: D₉/C₉ → C₂ ⊆ Aut C₂×C₁₀	360		(C2xC10).D9	360,28
(C₂×C₁₀).₂D₉ = C₁₀×Dic₉	central extension (φ=1)	360		(C2xC10).2D9	360,23

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