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

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

		d	ρ	Label	ID
C₃xDic₃:D₄		48		C3xDic3:D4	288,655

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(Dic₃:D₄) = Dic₃:₃D₁₂	φ: Dic₃:D₄/Dic₃:C₄ → C₂ ⊆ Aut C₃	48		C3:1(Dic3:D4)	288,558
C₃:₂(Dic₃:D₄) = C₆².₈₂C₂³	φ: Dic₃:D₄/D₆:C₄ → C₂ ⊆ Aut C₃	48		C3:2(Dic3:D4)	288,560
C₃:₃(Dic₃:D₄) = C₆².₂₂₈C₂³	φ: Dic₃:D₄/C₃xC₂²:C₄ → C₂ ⊆ Aut C₃	144		C3:3(Dic3:D4)	288,741
C₃:₄(Dic₃:D₄) = D₆:D₁₂	φ: Dic₃:D₄/S₃xC₂xC₄ → C₂ ⊆ Aut C₃	48		C3:4(Dic3:D4)	288,554
C₃:₅(Dic₃:D₄) = C₆².₅₅C₂³	φ: Dic₃:D₄/C₂xD₁₂ → C₂ ⊆ Aut C₃	96		C3:5(Dic3:D4)	288,533
C₃:₆(Dic₃:D₄) = C₆².₁₀₀C₂³	φ: Dic₃:D₄/C₂xC₃:D₄ → C₂ ⊆ Aut C₃	48		C3:6(Dic3:D4)	288,606
C₃:₇(Dic₃:D₄) = C₆².₁₁₃C₂³	φ: Dic₃:D₄/C₂xC₃:D₄ → C₂ ⊆ Aut C₃	48		C3:7(Dic3:D4)	288,619

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Dic₃:D₄) = D₁₈:D₄	φ: Dic₃:D₄/C₃xC₂²:C₄ → C₂ ⊆ Aut C₃	144		C3.(Dic3:D4)	288,94

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