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

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

		d	ρ	Label	ID
C₉×C₃⋊S₃		54		C9xC3:S3	162,39

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊(C₃⋊S₃) = C₃²⋊₄D₉	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₉	81		C9:(C3:S3)	162,45

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃⋊S₃) = C₂₇⋊S₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₉	81		C9.(C3:S3)	162,18
C₉.₂(C₃⋊S₃) = He₃.₄C₆	central extension (φ=1)	27	3	C9.2(C3:S3)	162,44

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