Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₆.D₄

Direct product G=NxQ with N=C₃ and Q=C₂xC₆.D₄

		d	ρ	Label	ID
C₆xC₆.D₄		48		C6xC6.D4	288,723

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₆.D₄

extension	φ:Q→Aut N	d	Label	ID
C₃:₁(C₂xC₆.D₄) = S₃xC₆.D₄	φ: C₂xC₆.D₄/C₆.D₄ → C₂ ⊆ Aut C₃	48	C3:1(C2xC6.D4)	288,616
C₃:₂(C₂xC₆.D₄) = C₂xD₆:Dic₃	φ: C₂xC₆.D₄/C₂²xDic₃ → C₂ ⊆ Aut C₃	96	C3:2(C2xC6.D4)	288,608
C₃:₃(C₂xC₆.D₄) = C₂xC₆²:₅C₄	φ: C₂xC₆.D₄/C₂³xC₆ → C₂ ⊆ Aut C₃	144	C3:3(C2xC6.D4)	288,809

Non-split extensions G=N.Q with N=C₃ and Q=C₂xC₆.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂xC₆.D₄) = C₂xC₁₈.D₄	φ: C₂xC₆.D₄/C₂³xC₆ → C₂ ⊆ Aut C₃	144		C3.(C2xC6.D4)	288,162

Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC6.D4