Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆:C₄

Direct product G=NxQ with N=C₃ and Q=D₆:C₄

		d	ρ	Label	ID
C₃xD₆:C₄		48		C3xD6:C4	144,79

Semidirect products G=N:Q with N=C₃ and Q=D₆:C₄

extension	φ:Q→Aut N	d	Label	ID
C₃:₁(D₆:C₄) = C₆.D₁₂	φ: D₆:C₄/C₂xDic₃ → C₂ ⊆ Aut C₃	24	C3:1(D6:C4)	144,65
C₃:₂(D₆:C₄) = C₆.₁₁D₁₂	φ: D₆:C₄/C₂xC₁₂ → C₂ ⊆ Aut C₃	72	C3:2(D6:C4)	144,95
C₃:₃(D₆:C₄) = D₆:Dic₃	φ: D₆:C₄/C₂²xS₃ → C₂ ⊆ Aut C₃	48	C3:3(D6:C4)	144,64

Non-split extensions G=N.Q with N=C₃ and Q=D₆:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₆:C₄) = D₁₈:C₄	φ: D₆:C₄/C₂xC₁₂ → C₂ ⊆ Aut C₃	72		C3.(D6:C4)	144,14

Extensions 1→N→G→Q→1 with N=C3 and Q=D6:C4