Extensions 1→N→G→Q→1 with N=C₂³×C₁₈ and Q=C₃

Direct product G=N×Q with N=C₂³×C₁₈ and Q=C₃

		d	ρ	Label	ID
C₂²×C₆×C₁₈		432		C2^2xC6xC18	432,562

Semidirect products G=N:Q with N=C₂³×C₁₈ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₁₈)⋊₁C₃ = A₄×C₂×C₁₈	φ: C₃/C₁ → C₃ ⊆ Aut C₂³×C₁₈	108		(C2^3xC18):1C3	432,546
(C₂³×C₁₈)⋊₂C₃ = C₉×C₂²⋊A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂³×C₁₈	108		(C2^3xC18):2C3	432,551
(C₂³×C₁₈)⋊₃C₃ = C₂⁴⋊₄3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₂³×C₁₈	108		(C2^3xC18):3C3	432,552
(C₂³×C₁₈)⋊₄C₃ = C₂²×C₉⋊A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂³×C₁₈	108		(C2^3xC18):4C3	432,547
(C₂³×C₁₈)⋊₅C₃ = C₂⁴×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₂³×C₁₈	144		(C2^3xC18):5C3	432,564

Non-split extensions G=N.Q with N=C₂³×C₁₈ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₁₈).₁C₃ = C₂²×C₉.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂³×C₁₈	108		(C2^3xC18).1C3	432,225
(C₂³×C₁₈).₂C₃ = C₂⁴⋊C₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₂³×C₁₈	108		(C2^3xC18).2C3	432,226

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