Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃×D₉

Direct product G=N×Q with N=C₉ and Q=C₃×D₉

		d	ρ	Label	ID
D₉×C₃×C₉		54		D9xC3xC9	486,91

Semidirect products G=N:Q with N=C₉ and Q=C₃×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊(C₃×D₉) = C₉²⋊₉C₆	φ: C₃×D₉/C₉ → C₆ ⊆ Aut C₉	81		C9:(C3xD9)	486,144
C₉⋊₂(C₃×D₉) = D₉×3_-¹⁺²	φ: C₃×D₉/D₉ → C₃ ⊆ Aut C₉	54	6	C9:2(C3xD9)	486,101
C₉⋊₃(C₃×D₉) = C₃×C₉⋊D₉	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₉	162		C9:3(C3xD9)	486,134

Non-split extensions G=N.Q with N=C₉ and Q=C₃×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃×D₉) = He₃.₅D₉	φ: C₃×D₉/C₉ → C₆ ⊆ Aut C₉	81	6+	C9.(C3xD9)	486,163
C₉.₂(C₃×D₉) = C₃×D₈₁	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₉	162	2	C9.2(C3xD9)	486,32
C₉.₃(C₃×D₉) = C₈₁⋊C₆	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₉	81	6+	C9.3(C3xD9)	486,34
C₉.₄(C₃×D₉) = C₉²⋊₃C₆	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₉	81		C9.4(C3xD9)	486,141
C₉.₅(C₃×D₉) = C₃×C₂₇⋊S₃	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₉	162		C9.5(C3xD9)	486,160
C₉.₆(C₃×D₉) = C₃³.₅D₉	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₉	81		C9.6(C3xD9)	486,162
C₉.₇(C₃×D₉) = D₉×C₂₇	central extension (φ=1)	54	2	C9.7(C3xD9)	486,14

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