Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₄²:₂C₂

Direct product G=NxQ with N=C₃ and Q=C₃xC₄²:₂C₂

		d	ρ	Label	ID
C₃²xC₄²:₂C₂		144		C3^2xC4^2:2C2	288,823

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₄²:₂C₂

extension	φ:Q→Aut N	d	Label	ID
C₃:₁(C₃xC₄²:₂C₂) = C₃xC₄²:₃S₃	φ: C₃xC₄²:₂C₂/C₄xC₁₂ → C₂ ⊆ Aut C₃	96	C3:1(C3xC4^2:2C2)	288,647
C₃:₂(C₃xC₄²:₂C₂) = C₃xC₂³.₈D₆	φ: C₃xC₄²:₂C₂/C₃xC₂²:C₄ → C₂ ⊆ Aut C₃	48	C3:2(C3xC4^2:2C2)	288,650
C₃:₃(C₃xC₄²:₂C₂) = C₃xC₄:C₄:S₃	φ: C₃xC₄²:₂C₂/C₃xC₄:C₄ → C₂ ⊆ Aut C₃	96	C3:3(C3xC4^2:2C2)	288,669

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₄²:₂C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃xC₄²:₂C₂) = C₉xC₄²:₂C₂	central extension (φ=1)	144		C3.(C3xC4^2:2C2)	288,176

Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC42:2C2