Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃:₅D₄

Direct product G=NxQ with N=C₃ and Q=Dic₃:₅D₄

		d	ρ	Label	ID
C₃xDic₃:₅D₄		96		C3xDic3:5D4	288,664

Semidirect products G=N:Q with N=C₃ and Q=Dic₃:₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(Dic₃:₅D₄) = Dic₃:₅D₁₂	φ: Dic₃:₅D₄/C₄xDic₃ → C₂ ⊆ Aut C₃	48		C3:1(Dic3:5D4)	288,542
C₃:₂(Dic₃:₅D₄) = C₆².₅₁C₂³	φ: Dic₃:₅D₄/D₆:C₄ → C₂ ⊆ Aut C₃	48		C3:2(Dic3:5D4)	288,529
C₃:₃(Dic₃:₅D₄) = C₆².₂₃₇C₂³	φ: Dic₃:₅D₄/C₃xC₄:C₄ → C₂ ⊆ Aut C₃	144		C3:3(Dic3:5D4)	288,750
C₃:₄(Dic₃:₅D₄) = C₆².₇₄C₂³	φ: Dic₃:₅D₄/S₃xC₂xC₄ → C₂ ⊆ Aut C₃	48		C3:4(Dic3:5D4)	288,552
C₃:₅(Dic₃:₅D₄) = D₁₂:Dic₃	φ: Dic₃:₅D₄/C₂xD₁₂ → C₂ ⊆ Aut C₃	96		C3:5(Dic3:5D4)	288,546

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃:₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Dic₃:₅D₄) = D₃₆:C₄	φ: Dic₃:₅D₄/C₃xC₄:C₄ → C₂ ⊆ Aut C₃	144		C3.(Dic3:5D4)	288,103

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