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

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

		d	ρ	Label	ID
C₃²×C₁₈		162		C3^2xC18	162,47

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₈)⋊₁C₃ = C₂×C₃²⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₁₈	54		(C3xC18):1C3	162,24
(C₃×C₁₈)⋊₂C₃ = C₂×He₃.C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₁₈	54	3	(C3xC18):2C3	162,29
(C₃×C₁₈)⋊₃C₃ = C₂×He₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₁₈	54	3	(C3xC18):3C3	162,30
(C₃×C₁₈)⋊₄C₃ = C₆×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₁₈	54		(C3xC18):4C3	162,49
(C₃×C₁₈)⋊₅C₃ = C₂×C₉○He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₁₈	54	3	(C3xC18):5C3	162,50

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₈).₁C₃ = C₂×C₉⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₁₈	162		(C3xC18).1C3	162,25
(C₃×C₁₈).₂C₃ = C₂×C₃.He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₁₈	54	3	(C3xC18).2C3	162,31
(C₃×C₁₈).₃C₃ = C₂×C₂₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₁₈	54	3	(C3xC18).3C3	162,27

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