Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₂D₉

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₂D₉

		d	ρ	Label	ID
C₃×C₃²⋊₂D₉		54		C3xC3^2:2D9	486,135

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₂D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃²⋊₂D₉) = C₃³⋊₆D₉	φ: C₃²⋊₂D₉/C₃²⋊C₉ → C₂ ⊆ Aut C₃	54		C3:(C3^2:2D9)	486,181

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₂D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²⋊₂D₉) = C₃.₂(C₉⋊D₉)	φ: C₃²⋊₂D₉/C₃²⋊C₉ → C₂ ⊆ Aut C₃	162		C3.1(C3^2:2D9)	486,42
C₃.₂(C₃²⋊₂D₉) = C₃²⋊₂D₂₇	φ: C₃²⋊₂D₉/C₃²⋊C₉ → C₂ ⊆ Aut C₃	54	6	C3.2(C3^2:2D9)	486,51
C₃.₃(C₃²⋊₂D₉) = C₃³⋊₂D₉	φ: C₃²⋊₂D₉/C₃²⋊C₉ → C₂ ⊆ Aut C₃	27		C3.3(C3^2:2D9)	486,52
C₃.₄(C₃²⋊₂D₉) = (C₃×C₉)⋊₅D₉	φ: C₃²⋊₂D₉/C₃²⋊C₉ → C₂ ⊆ Aut C₃	81		C3.4(C3^2:2D9)	486,53
C₃.₅(C₃²⋊₂D₉) = (C₃×C₉)⋊₆D₉	φ: C₃²⋊₂D₉/C₃²⋊C₉ → C₂ ⊆ Aut C₃	81		C3.5(C3^2:2D9)	486,54
C₃.₆(C₃²⋊₂D₉) = C₃³.D₉	φ: C₃²⋊₂D₉/C₃²⋊C₉ → C₂ ⊆ Aut C₃	27	6+	C3.6(C3^2:2D9)	486,55
C₃.₇(C₃²⋊₂D₉) = He₃⋊₂D₉	φ: C₃²⋊₂D₉/C₃²⋊C₉ → C₂ ⊆ Aut C₃	81		C3.7(C3^2:2D9)	486,56
C₃.₈(C₃²⋊₂D₉) = 3_-¹⁺²⋊D₉	φ: C₃²⋊₂D₉/C₃²⋊C₉ → C₂ ⊆ Aut C₃	81		C3.8(C3^2:2D9)	486,57
C₃.₉(C₃²⋊₂D₉) = He₃.₃D₉	φ: C₃²⋊₂D₉/C₃²⋊C₉ → C₂ ⊆ Aut C₃	81	6+	C3.9(C3^2:2D9)	486,58
C₃.₁₀(C₃²⋊₂D₉) = He₃.₄D₉	φ: C₃²⋊₂D₉/C₃²⋊C₉ → C₂ ⊆ Aut C₃	81	6+	C3.10(C3^2:2D9)	486,59

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