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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×C₅₄) = S₃×C₃×C₂₇	φ: C₃×C₅₄/C₃×C₂₇ → C₂ ⊆ Aut C₃	162		C3:(C3xC54)	486,112

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×C₅₄) = C₂×C₃²⋊C₂₇	central stem extension (φ=1)	162		C3.1(C3xC54)	486,72
C₃.₂(C₃×C₅₄) = C₂×C₉⋊C₂₇	central stem extension (φ=1)	486		C3.2(C3xC54)	486,81
C₃.₃(C₃×C₅₄) = C₂×C₈₁⋊C₃	central stem extension (φ=1)	162	3	C3.3(C3xC54)	486,84

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