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

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

		d	ρ	Label	ID
C₃×C₉×C₁₈		486		C3xC9xC18	486,190

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₃×C₁₈) = C₉×C₉⋊C₆	φ: C₃×C₁₈/C₉ → C₆ ⊆ Aut C₉	54	6	C9:1(C3xC18)	486,100
C₉⋊₂(C₃×C₁₈) = C₃×C₉⋊C₁₈	φ: C₃×C₁₈/C₃² → C₆ ⊆ Aut C₉	54		C9:2(C3xC18)	486,96
C₉⋊₃(C₃×C₁₈) = C₁₈×3_-¹⁺²	φ: C₃×C₁₈/C₁₈ → C₃ ⊆ Aut C₉	162		C9:3(C3xC18)	486,195
C₉⋊₄(C₃×C₁₈) = C₆×C₉⋊C₉	φ: C₃×C₁₈/C₃×C₆ → C₃ ⊆ Aut C₉	486		C9:4(C3xC18)	486,192
C₉⋊₅(C₃×C₁₈) = D₉×C₃×C₉	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Aut C₉	54		C9:5(C3xC18)	486,91

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.₁(C₃×C₁₈) = C₂×C₂₇○He₃	φ: C₃×C₁₈/C₁₈ → C₃ ⊆ Aut C₉	162	3	C9.1(C3xC18)	486,209
C₉.₂(C₃×C₁₈) = C₂×C₂₇⋊C₉	φ: C₃×C₁₈/C₃×C₆ → C₃ ⊆ Aut C₉	54	9	C9.2(C3xC18)	486,82
C₉.₃(C₃×C₁₈) = C₂×C₉²⋊₃C₃	φ: C₃×C₁₈/C₃×C₆ → C₃ ⊆ Aut C₉	162		C9.3(C3xC18)	486,193
C₉.₄(C₃×C₁₈) = C₆×C₂₇⋊C₃	φ: C₃×C₁₈/C₃×C₆ → C₃ ⊆ Aut C₉	162		C9.4(C3xC18)	486,208
C₉.₅(C₃×C₁₈) = C₂×C₂₇⋊₂C₉	central extension (φ=1)	486		C9.5(C3xC18)	486,71
C₉.₆(C₃×C₁₈) = C₂×C₈₁⋊C₃	central extension (φ=1)	162	3	C9.6(C3xC18)	486,84

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