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

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

		d	ρ	Label	ID
C₂²×C₁₈		72		C2^2xC18	72,18

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₈)⋊₁C₂ = D₄×C₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₈	36	2	(C2xC18):1C2	72,10
(C₂×C₁₈)⋊₂C₂ = C₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₈	36	2	(C2xC18):2C2	72,8
(C₂×C₁₈)⋊₃C₂ = C₂²×D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₈	36		(C2xC18):3C2	72,17

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₈).C₂ = C₂×Dic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₈	72		(C2xC18).C2	72,7

⋊

ℤ

𝔽

○

≀

ℚ

◁

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