Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²×C₁₈

Direct product G=N×Q with N=C₃ and Q=C₃²×C₁₈

		d	ρ	Label	ID
C₃³×C₁₈		486		C3^3xC18	486,250

Semidirect products G=N:Q with N=C₃ and Q=C₃²×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃²×C₁₈) = S₃×C₃²×C₉	φ: C₃²×C₁₈/C₃²×C₉ → C₂ ⊆ Aut C₃	162		C3:(C3^2xC18)	486,221

Non-split extensions G=N.Q with N=C₃ and Q=C₃²×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²×C₁₈) = C₆×C₃²⋊C₉	central stem extension (φ=1)	162		C3.1(C3^2xC18)	486,191
C₃.₂(C₃²×C₁₈) = C₆×C₉⋊C₉	central stem extension (φ=1)	486		C3.2(C3^2xC18)	486,192
C₃.₃(C₃²×C₁₈) = C₂×C₉²⋊₃C₃	central stem extension (φ=1)	162		C3.3(C3^2xC18)	486,193
C₃.₄(C₃²×C₁₈) = C₁₈×He₃	central stem extension (φ=1)	162		C3.4(C3^2xC18)	486,194
C₃.₅(C₃²×C₁₈) = C₁₈×3_-¹⁺²	central stem extension (φ=1)	162		C3.5(C3^2xC18)	486,195
C₃.₆(C₃²×C₁₈) = C₆×C₂₇⋊C₃	central stem extension (φ=1)	162		C3.6(C3^2xC18)	486,208
C₃.₇(C₃²×C₁₈) = C₂×C₂₇○He₃	central stem extension (φ=1)	162	3	C3.7(C3^2xC18)	486,209

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