Extensions 1→N→G→Q→1 with N=C₉ and Q=C₂×C₃⋊S₃

Direct product G=N×Q with N=C₉ and Q=C₂×C₃⋊S₃

		d	ρ	Label	ID
C₁₈×C₃⋊S₃		108		C18xC3:S3	324,143

Semidirect products G=N:Q with N=C₉ and Q=C₂×C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₂×C₃⋊S₃) = D₉×C₃⋊S₃	φ: C₂×C₃⋊S₃/C₃⋊S₃ → C₂ ⊆ Aut C₉	54		C9:1(C2xC3:S3)	324,119
C₉⋊₂(C₂×C₃⋊S₃) = C₂×C₃²⋊₄D₉	φ: C₂×C₃⋊S₃/C₃×C₆ → C₂ ⊆ Aut C₉	162		C9:2(C2xC3:S3)	324,149

Non-split extensions G=N.Q with N=C₉ and Q=C₂×C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₂×C₃⋊S₃) = C₂×C₂₇⋊S₃	φ: C₂×C₃⋊S₃/C₃×C₆ → C₂ ⊆ Aut C₉	162		C9.(C2xC3:S3)	324,76
C₉.₂(C₂×C₃⋊S₃) = C₂×He₃.₄C₆	central extension (φ=1)	54	3	C9.2(C2xC3:S3)	324,148

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Extensions 1→N→G→Q→1 with N=C9 and Q=C2×C3⋊S3