Extensions 1→N→G→Q→1 with N=C₉ and Q=S₃×C₂³

Direct product G=N×Q with N=C₉ and Q=S₃×C₂³

		d	ρ	Label	ID
S₃×C₂²×C₁₈		144		S3xC2^2xC18	432,557

Semidirect products G=N:Q with N=C₉ and Q=S₃×C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(S₃×C₂³) = C₂²×S₃×D₉	φ: S₃×C₂³/C₂²×S₃ → C₂ ⊆ Aut C₉	72		C9:1(S3xC2^3)	432,544
C₉⋊₂(S₃×C₂³) = C₂³×C₉⋊S₃	φ: S₃×C₂³/C₂²×C₆ → C₂ ⊆ Aut C₉	216		C9:2(S3xC2^3)	432,560

Non-split extensions G=N.Q with N=C₉ and Q=S₃×C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(S₃×C₂³) = C₂³×D₂₇	φ: S₃×C₂³/C₂²×C₆ → C₂ ⊆ Aut C₉	216		C9.(S3xC2^3)	432,227

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Extensions 1→N→G→Q→1 with N=C9 and Q=S3×C23