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

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

		d	ρ	Label	ID
C₉×3_-¹⁺²		81		C9xES-(3,1)	243,36

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁3_-¹⁺² = C₉²⋊₇C₃	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₉	81		C9:1ES-(3,1)	243,43
C₉⋊₂3_-¹⁺² = C₉²⋊₉C₃	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₉	81		C9:2ES-(3,1)	243,47
C₉⋊₃3_-¹⁺² = C₉⋊3_-¹⁺²	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₉	81		C9:3ES-(3,1)	243,41

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.₁3_-¹⁺² = C₉.₅He₃	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₉	81	3	C9.1ES-(3,1)	243,19
C₉.₂3_-¹⁺² = C₉.₆He₃	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₉	81	3	C9.2ES-(3,1)	243,20
C₉.₃3_-¹⁺² = C₉²⋊₈C₃	φ: 3_-¹⁺²/C₉ → C₃ ⊆ Aut C₉	81		C9.3ES-(3,1)	243,46
C₉.₄3_-¹⁺² = C₉.₄He₃	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₉	27	3	C9.4ES-(3,1)	243,16
C₉.₅3_-¹⁺² = C₂₇⋊C₉	φ: 3_-¹⁺²/C₃² → C₃ ⊆ Aut C₉	27	9	C9.5ES-(3,1)	243,22
C₉.₆3_-¹⁺² = C₃²⋊C₂₇	central extension (φ=1)	81		C9.6ES-(3,1)	243,12
C₉.₇3_-¹⁺² = C₉⋊C₂₇	central extension (φ=1)	243		C9.7ES-(3,1)	243,21

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