Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃²:C₆

Direct product G=NxQ with N=C₉ and Q=C₃²:C₆

		d	ρ	Label	ID
C₉xC₃²:C₆		54	6	C9xC3^2:C6	486,98

Semidirect products G=N:Q with N=C₉ and Q=C₃²:C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉:(C₃²:C₆) = C₉:He₃:₂C₂	φ: C₃²:C₆/C₃² → C₆ ⊆ Aut C₉	81		C9:(C3^2:C6)	486,148
C₉:₂(C₃²:C₆) = C₉:He₃:C₂	φ: C₃²:C₆/C₃:S₃ → C₃ ⊆ Aut C₉	54	6	C9:2(C3^2:C6)	486,107
C₉:₃(C₃²:C₆) = He₃:₃D₉	φ: C₃²:C₆/He₃ → C₂ ⊆ Aut C₉	81		C9:3(C3^2:C6)	486,142

Non-split extensions G=N.Q with N=C₉ and Q=C₃²:C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃²:C₆) = C₃wrC₃.S₃	φ: C₃²:C₆/C₃² → C₆ ⊆ Aut C₉	27	6+	C9.(C3^2:C6)	486,175
C₉.₂(C₃²:C₆) = C₃wrC₃.C₆	φ: C₃²:C₆/C₃:S₃ → C₃ ⊆ Aut C₉	27	9	C9.2(C3^2:C6)	486,132
C₉.₃(C₃²:C₆) = C₃²:D₂₇	φ: C₃²:C₆/He₃ → C₂ ⊆ Aut C₉	81		C9.3(C3^2:C6)	486,17
C₉.₄(C₃²:C₆) = He₃.D₉	φ: C₃²:C₆/He₃ → C₂ ⊆ Aut C₉	81	6+	C9.4(C3^2:C6)	486,27
C₉.₅(C₃²:C₆) = He₃.₂D₉	φ: C₃²:C₆/He₃ → C₂ ⊆ Aut C₉	81	6+	C9.5(C3^2:C6)	486,29
C₉.₆(C₃²:C₆) = C₃²:C₅₄	central extension (φ=1)	54	6	C9.6(C3^2:C6)	486,16
C₉.₇(C₃²:C₆) = He₃.C₁₈	central extension (φ=1)	81	3	C9.7(C3^2:C6)	486,26
C₉.₈(C₃²:C₆) = He₃.₂C₁₈	central extension (φ=1)	81	3	C9.8(C3^2:C6)	486,28
C₉.₉(C₃²:C₆) = C₃wrS₃:₃C₃	central extension (φ=1)	27	3	C9.9(C3^2:C6)	486,125

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