Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xD₄:C₄

Direct product G=NxQ with N=C₃ and Q=C₃xD₄:C₄

		d	ρ	Label	ID
C₃²xD₄:C₄		144		C3^2xD4:C4	288,320

Semidirect products G=N:Q with N=C₃ and Q=C₃xD₄:C₄

extension	φ:Q→Aut N	d	Label	ID
C₃:₁(C₃xD₄:C₄) = C₃xC₆.D₈	φ: C₃xD₄:C₄/C₃xC₄:C₄ → C₂ ⊆ Aut C₃	96	C3:1(C3xD4:C4)	288,243
C₃:₂(C₃xD₄:C₄) = C₃xC₂.D₂₄	φ: C₃xD₄:C₄/C₂xC₂₄ → C₂ ⊆ Aut C₃	96	C3:2(C3xD4:C4)	288,255
C₃:₃(C₃xD₄:C₄) = C₃xD₄:Dic₃	φ: C₃xD₄:C₄/C₆xD₄ → C₂ ⊆ Aut C₃	48	C3:3(C3xD4:C4)	288,266

Non-split extensions G=N.Q with N=C₃ and Q=C₃xD₄:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃xD₄:C₄) = C₉xD₄:C₄	central extension (φ=1)	144		C3.(C3xD4:C4)	288,52

Extensions 1→N→G→Q→1 with N=C3 and Q=C3xD4:C4