Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₃³:C₂

Direct product G=NxQ with N=C₃ and Q=C₂xC₃³:C₂

		d	ρ	Label	ID
C₆xC₃³:C₂		108		C6xC3^3:C2	324,174

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₃³:C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂xC₃³:C₂) = S₃xC₃³:C₂	φ: C₂xC₃³:C₂/C₃³:C₂ → C₂ ⊆ Aut C₃	54		C3:1(C2xC3^3:C2)	324,168
C₃:₂(C₂xC₃³:C₂) = C₂xC₃⁴:C₂	φ: C₂xC₃³:C₂/C₃²xC₆ → C₂ ⊆ Aut C₃	162		C3:2(C2xC3^3:C2)	324,175

Non-split extensions G=N.Q with N=C₃ and Q=C₂xC₃³:C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂xC₃³:C₂) = C₂xC₃²:₄D₉	φ: C₂xC₃³:C₂/C₃²xC₆ → C₂ ⊆ Aut C₃	162		C3.(C2xC3^3:C2)	324,149
C₃.₂(C₂xC₃³:C₂) = C₂xHe₃:₅S₃	central stem extension (φ=1)	36	6	C3.2(C2xC3^3:C2)	324,150

Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC33:C2