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

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

		d	ρ	Label	ID
C₃×C₉⋊S₃		54		C3xC9:S3	162,38

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₉⋊S₃) = C₉⋊D₉	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₃	81		C3.1(C9:S3)	162,16
C₃.₂(C₉⋊S₃) = C₂₇⋊S₃	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₃	81		C3.2(C9:S3)	162,18
C₃.₃(C₉⋊S₃) = C₃²⋊₂D₉	central stem extension (φ=1)	18	6	C3.3(C9:S3)	162,17

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