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
C₃³×C₉		243		C3^3xC9	243,61

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₉)⋊₁C₃ = He₃⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9):1C3	243,17
(C₃²×C₉)⋊₂C₃ = C₃×C₃²⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9):2C3	243,32
(C₃²×C₉)⋊₃C₃ = C₉×He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9):3C3	243,35
(C₃²×C₉)⋊₄C₃ = C₃².₂₃C₃³	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9):4C3	243,40
(C₃²×C₉)⋊₅C₃ = C₃×He₃.C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9):5C3	243,52
(C₃²×C₉)⋊₆C₃ = C₃×He₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9):6C3	243,53
(C₃²×C₉)⋊₇C₃ = C₉⋊He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9):7C3	243,39
(C₃²×C₉)⋊₈C₃ = C₉.He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	27	3	(C3^2xC9):8C3	243,55
(C₃²×C₉)⋊₉C₃ = C₃²×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9):9C3	243,63
(C₃²×C₉)⋊₁₀C₃ = C₃×C₉○He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9):10C3	243,64

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₉).₁C₃ = C₃.C₉²	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	243		(C3^2xC9).1C3	243,2
(C₃²×C₉).₂C₃ = C₃²⋊C₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9).2C3	243,12
(C₃²×C₉).₃C₃ = C₃².₁₉He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9).3C3	243,14
(C₃²×C₉).₄C₃ = C₃².₂₀He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9).4C3	243,15
(C₃²×C₉).₅C₃ = 3_-¹⁺²⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9).5C3	243,18
(C₃²×C₉).₆C₃ = C₉×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9).6C3	243,36
(C₃²×C₉).₇C₃ = C₃³.₃₁C₃²	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9).7C3	243,42
(C₃²×C₉).₈C₃ = C₃×C₃.He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9).8C3	243,54
(C₃²×C₉).₉C₃ = C₉.₄He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	27	3	(C3^2xC9).9C3	243,16
(C₃²×C₉).₁₀C₃ = C₃×C₉⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	243		(C3^2xC9).10C3	243,33
(C₃²×C₉).₁₁C₃ = C₉²⋊₃C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9).11C3	243,34
(C₃²×C₉).₁₂C₃ = C₉⋊3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9).12C3	243,41
(C₃²×C₉).₁₃C₃ = C₃×C₂₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₉	81		(C3^2xC9).13C3	243,49

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