Extensions 1→N→G→Q→1 with N=C₂×C₁₈ and Q=D₅

Direct product G=N×Q with N=C₂×C₁₈ and Q=D₅

		d	ρ	Label	ID
D₅×C₂×C₁₈		180		D5xC2xC18	360,47

Semidirect products G=N:Q with N=C₂×C₁₈ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₈)⋊₁D₅ = C₉×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₈	180	2	(C2xC18):1D5	360,19
(C₂×C₁₈)⋊₂D₅ = C₄₅⋊₇D₄	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₈	180	2	(C2xC18):2D5	360,29
(C₂×C₁₈)⋊₃D₅ = C₂²×D₄₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₈	180		(C2xC18):3D5	360,49

Non-split extensions G=N.Q with N=C₂×C₁₈ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₈).D₅ = C₂×Dic₄₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂×C₁₈	360		(C2xC18).D5	360,28
(C₂×C₁₈).₂D₅ = C₁₈×Dic₅	central extension (φ=1)	360		(C2xC18).2D5	360,18

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×C18 and Q=D5