Extensions 1→N→G→Q→1 with N=C₃²⋊C₉ and Q=C₃

Direct product G=N×Q with N=C₃²⋊C₉ and Q=C₃

		d	ρ	Label	ID
C₃×C₃²⋊C₉		81		C3xC3^2:C9	243,32

Semidirect products G=N:Q with N=C₃²⋊C₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₉⋊₁C₃ = C₃².₂₄He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9:1C3	243,3
C₃²⋊C₉⋊₂C₃ = C₃³.C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9:2C3	243,4
C₃²⋊C₉⋊₃C₃ = C₃².₂₇He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9:3C3	243,6
C₃²⋊C₉⋊₄C₃ = C₃³⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	27		C3^2:C9:4C3	243,13
C₃²⋊C₉⋊₅C₃ = He₃⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9:5C3	243,17
C₃²⋊C₉⋊₆C₃ = C₃⁴.C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	27		C3^2:C9:6C3	243,38
C₃²⋊C₉⋊₇C₃ = C₉⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9:7C3	243,39
C₃²⋊C₉⋊₈C₃ = C₃².₂₃C₃³	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9:8C3	243,40
C₃²⋊C₉⋊₉C₃ = C₉×He₃	φ: trivial image	81		C3^2:C9:9C3	243,35

Non-split extensions G=N.Q with N=C₃²⋊C₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₉.₁C₃ = C₃³.₃C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9.1C3	243,5
C₃²⋊C₉.₂C₃ = C₃².₂₈He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9.2C3	243,7
C₃²⋊C₉.₃C₃ = C₃².₂₉He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9.3C3	243,8
C₃²⋊C₉.₄C₃ = C₃³.₇C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9.4C3	243,9
C₃²⋊C₉.₅C₃ = C₃².₁₉He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9.5C3	243,14
C₃²⋊C₉.₆C₃ = C₃².₂₀He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9.6C3	243,15
C₃²⋊C₉.₇C₃ = 3_-¹⁺²⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9.7C3	243,18
C₃²⋊C₉.₈C₃ = C₉⋊3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9.8C3	243,41
C₃²⋊C₉.₉C₃ = C₃³.₃₁C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9.9C3	243,42
C₃²⋊C₉.₁₀C₃ = C₉²⋊₇C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9.10C3	243,43
C₃²⋊C₉.₁₁C₃ = C₉²⋊₄C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9.11C3	243,44
C₃²⋊C₉.₁₂C₃ = C₉²⋊₅C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9.12C3	243,45
C₃²⋊C₉.₁₃C₃ = C₉²⋊₈C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊C₉	81		C3^2:C9.13C3	243,46
C₃²⋊C₉.₁₄C₃ = C₉²⋊₃C₃	φ: trivial image	81		C3^2:C9.14C3	243,34
C₃²⋊C₉.₁₅C₃ = C₉×3_-¹⁺²	φ: trivial image	81		C3^2:C9.15C3	243,36

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