Extensions 1→N→G→Q→1 with N=C₂²×C₁₈ and Q=C₃

Direct product G=N×Q with N=C₂²×C₁₈ and Q=C₃

		d	ρ	Label	ID
C₂×C₆×C₁₈		216		C2xC6xC18	216,114

Semidirect products G=N:Q with N=C₂²×C₁₈ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₁₈)⋊₁C₃ = A₄×C₁₈	φ: C₃/C₁ → C₃ ⊆ Aut C₂²×C₁₈	54	3	(C2^2xC18):1C3	216,103
(C₂²×C₁₈)⋊₂C₃ = C₂×C₉⋊A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂²×C₁₈	54	3	(C2^2xC18):2C3	216,104
(C₂²×C₁₈)⋊₃C₃ = C₂³×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₂²×C₁₈	72		(C2^2xC18):3C3	216,116

Non-split extensions G=N.Q with N=C₂²×C₁₈ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₁₈).C₃ = C₂×C₉.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂²×C₁₈	54	3	(C2^2xC18).C3	216,22

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Extensions 1→N→G→Q→1 with N=C22×C18 and Q=C3