Extensions 1→N→G→Q→1 with N=C₉ and Q=He₃:C₂

Direct product G=NxQ with N=C₉ and Q=He₃:C₂

		d	ρ	Label	ID
C₉xHe₃:C₂		81		C9xHe3:C2	486,143

Semidirect products G=N:Q with N=C₉ and Q=He₃:C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉:(He₃:C₂) = He₃:₄D₉	φ: He₃:C₂/He₃ → C₂ ⊆ Aut C₉	54	6	C9:(He3:C2)	486,182

Non-split extensions G=N.Q with N=C₉ and Q=He₃:C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.₁(He₃:C₂) = C₃²:₂D₂₇	φ: He₃:C₂/He₃ → C₂ ⊆ Aut C₉	54	6	C9.1(He3:C2)	486,51
C₉.₂(He₃:C₂) = C₃³.D₉	φ: He₃:C₂/He₃ → C₂ ⊆ Aut C₉	27	6+	C9.2(He3:C2)	486,55
C₉.₃(He₃:C₂) = He₃.₃D₉	φ: He₃:C₂/He₃ → C₂ ⊆ Aut C₉	81	6+	C9.3(He3:C2)	486,58
C₉.₄(He₃:C₂) = He₃.₄D₉	φ: He₃:C₂/He₃ → C₂ ⊆ Aut C₉	81	6+	C9.4(He3:C2)	486,59
C₉.₅(He₃:C₂) = C₃wrC₃:S₃	φ: He₃:C₂/He₃ → C₂ ⊆ Aut C₉	27	6+	C9.5(He3:C2)	486,189

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