Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆:₃D₄

Direct product G=NxQ with N=C₃ and Q=D₆:₃D₄

		d	ρ	Label	ID
C₃xD₆:₃D₄		48		C3xD6:3D4	288,709

Semidirect products G=N:Q with N=C₃ and Q=D₆:₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(D₆:₃D₄) = C₁₂:₂D₁₂	φ: D₆:₃D₄/C₄:Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(D6:3D4)	288,564
C₃:₂(D₆:₃D₄) = C₆².₁₀₀C₂³	φ: D₆:₃D₄/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:2(D6:3D4)	288,606
C₃:₃(D₆:₃D₄) = D₆:₂D₁₂	φ: D₆:₃D₄/S₃xC₂xC₄ → C₂ ⊆ Aut C₃	96		C3:3(D6:3D4)	288,556
C₃:₄(D₆:₃D₄) = C₆².₁₁₂C₂³	φ: D₆:₃D₄/C₂xC₃:D₄ → C₂ ⊆ Aut C₃	48		C3:4(D6:3D4)	288,618
C₃:₅(D₆:₃D₄) = C₆².₂₅₆C₂³	φ: D₆:₃D₄/C₆xD₄ → C₂ ⊆ Aut C₃	144		C3:5(D6:3D4)	288,795

Non-split extensions G=N.Q with N=C₃ and Q=D₆:₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₆:₃D₄) = C₃₆:₂D₄	φ: D₆:₃D₄/C₆xD₄ → C₂ ⊆ Aut C₃	144		C3.(D6:3D4)	288,148

׿

x

:

Z

F

o

wr

Q

<