Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₄.₄D₄

Direct product G=NxQ with N=C₃ and Q=C₃xC₄.₄D₄

		d	ρ	Label	ID
C₃²xC₄.₄D₄		144		C3^2xC4.4D4	288,821

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₄.₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₄.₄D₄) = C₃xC₄²:₇S₃	φ: C₃xC₄.₄D₄/C₄xC₁₂ → C₂ ⊆ Aut C₃	96		C3:1(C3xC4.4D4)	288,646
C₃:₂(C₃xC₄.₄D₄) = C₃xC₂³.₁₁D₆	φ: C₃xC₄.₄D₄/C₃xC₂²:C₄ → C₂ ⊆ Aut C₃	48		C3:2(C3xC4.4D4)	288,656
C₃:₃(C₃xC₄.₄D₄) = C₃xC₂³.₁₂D₆	φ: C₃xC₄.₄D₄/C₆xD₄ → C₂ ⊆ Aut C₃	48		C3:3(C3xC4.4D4)	288,707
C₃:₄(C₃xC₄.₄D₄) = C₃xC₁₂.₂₃D₄	φ: C₃xC₄.₄D₄/C₆xQ₈ → C₂ ⊆ Aut C₃	96		C3:4(C3xC4.4D4)	288,718

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₄.₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃xC₄.₄D₄) = C₉xC₄.₄D₄	central extension (φ=1)	144		C3.(C3xC4.4D4)	288,174

׿

x

:

Z

F

o

wr

Q

<