Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃:₄D₄

Direct product G=NxQ with N=C₃ and Q=Dic₃:₄D₄

		d	ρ	Label	ID
C₃xDic₃:₄D₄		48		C3xDic3:4D4	288,652

Semidirect products G=N:Q with N=C₃ and Q=Dic₃:₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(Dic₃:₄D₄) = Dic₃:₄D₁₂	φ: Dic₃:₄D₄/C₄xDic₃ → C₂ ⊆ Aut C₃	48		C3:1(Dic3:4D4)	288,528
C₃:₂(Dic₃:₄D₄) = C₆².₅₁C₂³	φ: Dic₃:₄D₄/Dic₃:C₄ → C₂ ⊆ Aut C₃	48		C3:2(Dic3:4D4)	288,529
C₃:₃(Dic₃:₄D₄) = C₆².₇₂C₂³	φ: Dic₃:₄D₄/D₆:C₄ → C₂ ⊆ Aut C₃	96		C3:3(Dic3:4D4)	288,550
C₃:₄(Dic₃:₄D₄) = C₆².₂₂₅C₂³	φ: Dic₃:₄D₄/C₃xC₂²:C₄ → C₂ ⊆ Aut C₃	144		C3:4(Dic3:4D4)	288,738
C₃:₅(Dic₃:₄D₄) = C₆².₄₉C₂³	φ: Dic₃:₄D₄/S₃xC₂xC₄ → C₂ ⊆ Aut C₃	96		C3:5(Dic3:4D4)	288,527
C₃:₆(Dic₃:₄D₄) = C₆².₉₄C₂³	φ: Dic₃:₄D₄/C₂²xDic₃ → C₂ ⊆ Aut C₃	48		C3:6(Dic3:4D4)	288,600
C₃:₇(Dic₃:₄D₄) = C₆².₁₁₅C₂³	φ: Dic₃:₄D₄/C₂xC₃:D₄ → C₂ ⊆ Aut C₃	48		C3:7(Dic3:4D4)	288,621

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃:₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Dic₃:₄D₄) = Dic₉:₄D₄	φ: Dic₃:₄D₄/C₃xC₂²:C₄ → C₂ ⊆ Aut C₃	144		C3.(Dic3:4D4)	288,91

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