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

Direct product G=N×Q with N=C₉ and Q=C₂×He₃

		d	ρ	Label	ID
C₁₈×He₃		162		C18xHe3	486,194

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊(C₂×He₃) = D₉⋊He₃	φ: C₂×He₃/C₃² → C₆ ⊆ Aut C₉	54	6	C9:(C2xHe3)	486,106
C₉⋊₂(C₂×He₃) = C₂×C₉⋊He₃	φ: C₂×He₃/C₃×C₆ → C₃ ⊆ Aut C₉	162		C9:2(C2xHe3)	486,198
C₉⋊₃(C₂×He₃) = D₉×He₃	φ: C₂×He₃/He₃ → C₂ ⊆ Aut C₉	54	6	C9:3(C2xHe3)	486,99

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₂×He₃) = C₂×C₉.₂He₃	φ: C₂×He₃/C₃×C₆ → C₃ ⊆ Aut C₉	54	9	C9.(C2xHe3)	486,219
C₉.₂(C₂×He₃) = C₂×C₃²⋊C₂₇	central extension (φ=1)	162		C9.2(C2xHe3)	486,72
C₉.₃(C₂×He₃) = C₂×C₉.₄He₃	central extension (φ=1)	54	3	C9.3(C2xHe3)	486,76
C₉.₄(C₂×He₃) = C₂×C₉.₅He₃	central extension (φ=1)	162	3	C9.4(C2xHe3)	486,79
C₉.₅(C₂×He₃) = C₂×C₉.₆He₃	central extension (φ=1)	162	3	C9.5(C2xHe3)	486,80
C₉.₆(C₂×He₃) = C₂×C₉.He₃	central extension (φ=1)	54	3	C9.6(C2xHe3)	486,214

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