Extensions 1→N→G→Q→1 with N=C₉ and Q=C₂×3_-¹⁺²

Direct product G=N×Q with N=C₉ and Q=C₂×3_-¹⁺²

		d	ρ	Label	ID
C₁₈×3_-¹⁺²		162		C18xES-(3,1)	486,195

Semidirect products G=N:Q with N=C₉ and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₂×3_-¹⁺²) = C₉²⋊₇C₆	φ: C₂×3_-¹⁺²/C₉ → C₆ ⊆ Aut C₉	54	6	C9:1(C2xES-(3,1))	486,109
C₉⋊₂(C₂×3_-¹⁺²) = C₉²⋊₈C₆	φ: C₂×3_-¹⁺²/C₉ → C₆ ⊆ Aut C₉	18	6	C9:2(C2xES-(3,1))	486,110
C₉⋊₃(C₂×3_-¹⁺²) = D₉⋊3_-¹⁺²	φ: C₂×3_-¹⁺²/C₃² → C₆ ⊆ Aut C₉	54	6	C9:3(C2xES-(3,1))	486,108
C₉⋊₄(C₂×3_-¹⁺²) = C₂×C₉²⋊₇C₃	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₉	162		C9:4(C2xES-(3,1))	486,202
C₉⋊₅(C₂×3_-¹⁺²) = C₂×C₉²⋊₉C₃	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₉	162		C9:5(C2xES-(3,1))	486,206
C₉⋊₆(C₂×3_-¹⁺²) = C₂×C₉⋊3_-¹⁺²	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Aut C₉	162		C9:6(C2xES-(3,1))	486,200
C₉⋊₇(C₂×3_-¹⁺²) = D₉×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₉	54	6	C9:7(C2xES-(3,1))	486,101

Non-split extensions G=N.Q with N=C₉ and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.₁(C₂×3_-¹⁺²) = C₂×C₉.₅He₃	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₉	162	3	C9.1(C2xES-(3,1))	486,79
C₉.₂(C₂×3_-¹⁺²) = C₂×C₉.₆He₃	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₉	162	3	C9.2(C2xES-(3,1))	486,80
C₉.₃(C₂×3_-¹⁺²) = C₂×C₉²⋊₈C₃	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₉	162		C9.3(C2xES-(3,1))	486,205
C₉.₄(C₂×3_-¹⁺²) = C₂×C₉.₄He₃	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Aut C₉	54	3	C9.4(C2xES-(3,1))	486,76
C₉.₅(C₂×3_-¹⁺²) = C₂×C₂₇⋊C₉	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Aut C₉	54	9	C9.5(C2xES-(3,1))	486,82
C₉.₆(C₂×3_-¹⁺²) = C₂×C₃²⋊C₂₇	central extension (φ=1)	162		C9.6(C2xES-(3,1))	486,72
C₉.₇(C₂×3_-¹⁺²) = C₂×C₉⋊C₂₇	central extension (φ=1)	486		C9.7(C2xES-(3,1))	486,81

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