Extensions 1→N→G→Q→1 with N=C₃xC₅₄ and Q=C₃

Direct product G=NxQ with N=C₃xC₅₄ and Q=C₃

		d	ρ	Label	ID
C₃²xC₅₄		486		C3^2xC54	486,207

Semidirect products G=N:Q with N=C₃xC₅₄ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₅₄):₁C₃ = C₂xC₃²:C₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₅₄	162		(C3xC54):1C3	486,72
(C₃xC₅₄):₂C₃ = C₂xC₉.₅He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₅₄	162	3	(C3xC54):2C3	486,79
(C₃xC₅₄):₃C₃ = C₂xC₉.₆He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₅₄	162	3	(C3xC54):3C3	486,80
(C₃xC₅₄):₄C₃ = C₆xC₂₇:C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₅₄	162		(C3xC54):4C3	486,208
(C₃xC₅₄):₅C₃ = C₂xC₂₇oHe₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₅₄	162	3	(C3xC54):5C3	486,209

Non-split extensions G=N.Q with N=C₃xC₅₄ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₅₄).₁C₃ = C₂xC₉:C₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₅₄	486		(C3xC54).1C3	486,81
(C₃xC₅₄).₂C₃ = C₂xC₂₇:₂C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₅₄	486		(C3xC54).2C3	486,71
(C₃xC₅₄).₃C₃ = C₂xC₈₁:C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃xC₅₄	162	3	(C3xC54).3C3	486,84

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