Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃³⋊C₂

Direct product G=N×Q with N=C₉ and Q=C₃³⋊C₂

		d	ρ	Label	ID
C₉×C₃³⋊C₂		162		C9xC3^3:C2	486,241

Semidirect products G=N:Q with N=C₉ and Q=C₃³⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊(C₃³⋊C₂) = C₃³⋊₉D₉	φ: C₃³⋊C₂/C₃³ → C₂ ⊆ Aut C₉	243		C9:(C3^3:C2)	486,247

Non-split extensions G=N.Q with N=C₉ and Q=C₃³⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃³⋊C₂) = C₃²⋊₄D₂₇	φ: C₃³⋊C₂/C₃³ → C₂ ⊆ Aut C₉	243		C9.(C3^3:C2)	486,184
C₉.₂(C₃³⋊C₂) = C₉○He₃⋊₄S₃	central extension (φ=1)	54	6	C9.2(C3^3:C2)	486,246

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Extensions 1→N→G→Q→1 with N=C9 and Q=C33⋊C2