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

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

		d	ρ	Label	ID
D₉×C₃³		162		D9xC3^3	486,220

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₉)⋊C₃² = C₃²×C₉⋊C₆	φ: C₃²/C₃ → C₃ ⊆ Out C₃×D₉	54		(C3xD9):C3^2	486,224

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₉).₁C₃² = C₃×C₉⋊C₁₈	φ: C₃²/C₃ → C₃ ⊆ Out C₃×D₉	54		(C3xD9).1C3^2	486,96
(C₃×D₉).₂C₃² = C₉×C₉⋊C₆	φ: C₃²/C₃ → C₃ ⊆ Out C₃×D₉	54	6	(C3xD9).2C3^2	486,100
(C₃×D₉).₃C₃² = D₉⋊He₃	φ: C₃²/C₃ → C₃ ⊆ Out C₃×D₉	54	6	(C3xD9).3C3^2	486,106
(C₃×D₉).₄C₃² = D₉⋊3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Out C₃×D₉	54	6	(C3xD9).4C3^2	486,108
(C₃×D₉).₅C₃² = C₉²⋊₇C₆	φ: C₃²/C₃ → C₃ ⊆ Out C₃×D₉	54	6	(C3xD9).5C3^2	486,109
(C₃×D₉).₆C₃² = C₉²⋊₈C₆	φ: C₃²/C₃ → C₃ ⊆ Out C₃×D₉	18	6	(C3xD9).6C3^2	486,110
(C₃×D₉).₇C₃² = D₉×C₃×C₉	φ: trivial image	54		(C3xD9).7C3^2	486,91
(C₃×D₉).₈C₃² = D₉×He₃	φ: trivial image	54	6	(C3xD9).8C3^2	486,99
(C₃×D₉).₉C₃² = D₉×3_-¹⁺²	φ: trivial image	54	6	(C3xD9).9C3^2	486,101

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