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

Direct product G=NxQ with N=C₃ and Q=C₉:C₆

		d	ρ	Label	ID
C₃xC₉: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

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