Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xD₆:C₄

Direct product G=NxQ with N=C₃ and Q=C₂xD₆:C₄

		d	ρ	Label	ID
C₆xD₆:C₄		96		C6xD6:C4	288,698

Semidirect products G=N:Q with N=C₃ and Q=C₂xD₆:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂xD₆:C₄) = S₃xD₆:C₄	φ: C₂xD₆:C₄/D₆:C₄ → C₂ ⊆ Aut C₃	48		C3:1(C2xD6:C4)	288,568
C₃:₂(C₂xD₆:C₄) = C₂xC₆.D₁₂	φ: C₂xD₆:C₄/C₂²xDic₃ → C₂ ⊆ Aut C₃	48		C3:2(C2xD6:C4)	288,611
C₃:₃(C₂xD₆:C₄) = C₂xC₆.₁₁D₁₂	φ: C₂xD₆:C₄/C₂²xC₁₂ → C₂ ⊆ Aut C₃	144		C3:3(C2xD6:C4)	288,784
C₃:₄(C₂xD₆:C₄) = C₂xD₆:Dic₃	φ: C₂xD₆:C₄/S₃xC₂³ → C₂ ⊆ Aut C₃	96		C3:4(C2xD6:C4)	288,608

Non-split extensions G=N.Q with N=C₃ and Q=C₂xD₆:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂xD₆:C₄) = C₂xD₁₈:C₄	φ: C₂xD₆:C₄/C₂²xC₁₂ → C₂ ⊆ Aut C₃	144		C3.(C2xD6:C4)	288,137

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