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

Direct product G=NxQ with N=C₃ and Q=C₉:C₁₈

		d	ρ	Label	ID
C₃xC₉: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:(S₃xC₉)	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

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