Extensions 1→N→G→Q→1 with N=C₂³×C₁₈ and Q=C₂

Direct product G=N×Q with N=C₂³×C₁₈ and Q=C₂

		d	ρ	Label	ID
C₂⁴×C₁₈		288		C2^4xC18	288,840

Semidirect products G=N:Q with N=C₂³×C₁₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₁₈)⋊₁C₂ = C₉×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₈	72		(C2^3xC18):1C2	288,170
(C₂³×C₁₈)⋊₂C₂ = D₄×C₂×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₈	144		(C2^3xC18):2C2	288,368
(C₂³×C₁₈)⋊₃C₂ = C₂⁴⋊₄D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₈	72		(C2^3xC18):3C2	288,163
(C₂³×C₁₈)⋊₄C₂ = C₂²×C₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₈	144		(C2^3xC18):4C2	288,366
(C₂³×C₁₈)⋊₅C₂ = C₂⁴×D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₈	144		(C2^3xC18):5C2	288,839

Non-split extensions G=N.Q with N=C₂³×C₁₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₁₈).₁C₂ = C₂²⋊C₄×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₈	144		(C2^3xC18).1C2	288,165
(C₂³×C₁₈).₂C₂ = C₂×C₁₈.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₈	144		(C2^3xC18).2C2	288,162
(C₂³×C₁₈).₃C₂ = C₂³×Dic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂³×C₁₈	288		(C2^3xC18).3C2	288,365

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