Extensions 1→N→G→Q→1 with N=C₃×C₉ and Q=C₃

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

		d	ρ	Label	ID
C₃²×C₉		81		C3^2xC9	81,11

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁C₃ = C₃²⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₉	27		(C3xC9):1C3	81,3
(C₃×C₉)⋊₂C₃ = He₃.C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₉	27	3	(C3xC9):2C3	81,8
(C₃×C₉)⋊₃C₃ = He₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₉	27	3	(C3xC9):3C3	81,9
(C₃×C₉)⋊₄C₃ = C₃×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₉	27		(C3xC9):4C3	81,13
(C₃×C₉)⋊₅C₃ = C₉○He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₉	27	3	(C3xC9):5C3	81,14

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉).₁C₃ = C₉⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₉	81		(C3xC9).1C3	81,4
(C₃×C₉).₂C₃ = C₃.He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₉	27	3	(C3xC9).2C3	81,10
(C₃×C₉).₃C₃ = C₂₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₉	27	3	(C3xC9).3C3	81,6

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