Extensions 1→N→G→Q→1 with N=C₃ and Q=C₉⋊C₆

Direct product G=N×Q with N=C₃ and Q=C₉⋊C₆

		d	ρ	Label	ID
C₃×C₉⋊C₆		18	6	C3xC9:C6	162,36

Semidirect products G=N:Q with N=C₃ and Q=C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₉⋊C₆) = C₃³.S₃	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₃	27		C3:(C9:C6)	162,42

Non-split extensions G=N.Q with N=C₃ and Q=C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₉⋊C₆) = C₃²⋊D₉	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₃	27		C3.(C9:C6)	162,5
C₃.₂(C₉⋊C₆) = C₉⋊C₁₈	central extension (φ=1)	18	6	C3.2(C9:C6)	162,6

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Extensions 1→N→G→Q→1 with N=C3 and Q=C9⋊C6