Extensions 1→N→G→Q→1 with N=C₃xC₁₈ and Q=C₃

Direct product G=NxQ with N=C₃xC₁₈ and Q=C₃

		d	ρ	Label	ID
C₃²xC₁₈		162		C3^2xC18	162,47

Semidirect products G=N:Q with N=C₃xC₁₈ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₈):₁C₃ = C₂xC₃²:C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₁₈	54		(C3xC18):1C3	162,24
(C₃xC₁₈):₂C₃ = C₂xHe₃.C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₁₈	54	3	(C3xC18):2C3	162,29
(C₃xC₁₈):₃C₃ = C₂xHe₃:C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₁₈	54	3	(C3xC18):3C3	162,30
(C₃xC₁₈):₄C₃ = C₆x3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₁₈	54		(C3xC18):4C3	162,49
(C₃xC₁₈):₅C₃ = C₂xC₉oHe₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₁₈	54	3	(C3xC18):5C3	162,50

Non-split extensions G=N.Q with N=C₃xC₁₈ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₈).₁C₃ = C₂xC₉:C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₁₈	162		(C3xC18).1C3	162,25
(C₃xC₁₈).₂C₃ = C₂xC₃.He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₁₈	54	3	(C3xC18).2C3	162,31
(C₃xC₁₈).₃C₃ = C₂xC₂₇:C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₁₈	54	3	(C3xC18).3C3	162,27

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