Extensions 1→N→G→Q→1 with N=C₃ and Q=C₉⋊C₁₈

Direct product G=N×Q with N=C₃ and Q=C₉⋊C₁₈

		d	ρ	Label	ID
C₃×C₉⋊C₁₈		54		C3xC9:C18	486,96

Semidirect products G=N:Q with N=C₃ and Q=C₉⋊C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₉⋊C₁₈) = C₉⋊(S₃×C₉)	φ: C₉⋊C₁₈/C₉⋊C₉ → C₂ ⊆ Aut C₃	54		C3:(C9:C18)	486,138

Non-split extensions G=N.Q with N=C₃ and Q=C₉⋊C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₉⋊C₁₈) = C₉⋊S₃⋊C₉	φ: C₉⋊C₁₈/C₉⋊C₉ → C₂ ⊆ Aut C₃	54		C3.1(C9:C18)	486,3
C₃.₂(C₉⋊C₁₈) = C₂₇⋊C₁₈	φ: C₉⋊C₁₈/C₉⋊C₉ → C₂ ⊆ Aut C₃	27	18+	C3.2(C9:C18)	486,31
C₃.₃(C₉⋊C₁₈) = C₉⋊C₅₄	central extension (φ=1)	54	6	C3.3(C9:C18)	486,30

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Extensions 1→N→G→Q→1 with N=C3 and Q=C9⋊C18