Extensions 1→N→G→Q→1 with N=C₃×C₅₄ and Q=C₃

Direct product G=N×Q with N=C₃×C₅₄ and Q=C₃

		d	ρ	Label	ID
C₃²×C₅₄		486		C3^2xC54	486,207

Semidirect products G=N:Q with N=C₃×C₅₄ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₅₄)⋊₁C₃ = C₂×C₃²⋊C₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₅₄	162		(C3xC54):1C3	486,72
(C₃×C₅₄)⋊₂C₃ = C₂×C₉.₅He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₅₄	162	3	(C3xC54):2C3	486,79
(C₃×C₅₄)⋊₃C₃ = C₂×C₉.₆He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₅₄	162	3	(C3xC54):3C3	486,80
(C₃×C₅₄)⋊₄C₃ = C₆×C₂₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₅₄	162		(C3xC54):4C3	486,208
(C₃×C₅₄)⋊₅C₃ = C₂×C₂₇○He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₅₄	162	3	(C3xC54):5C3	486,209

Non-split extensions G=N.Q with N=C₃×C₅₄ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₅₄).₁C₃ = C₂×C₉⋊C₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₅₄	486		(C3xC54).1C3	486,81
(C₃×C₅₄).₂C₃ = C₂×C₂₇⋊₂C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₅₄	486		(C3xC54).2C3	486,71
(C₃×C₅₄).₃C₃ = C₂×C₈₁⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₅₄	162	3	(C3xC54).3C3	486,84

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