Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₃.Q₈

Direct product G=NxQ with N=C₃ and Q=Dic₃.Q₈

		d	ρ	Label	ID
C₃xDic₃.Q₈		96		C3xDic3.Q8	288,660

Semidirect products G=N:Q with N=C₃ and Q=Dic₃.Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(Dic₃.Q₈) = C₆².₃₇C₂³	φ: Dic₃.Q₈/C₄xDic₃ → C₂ ⊆ Aut C₃	96		C3:1(Dic3.Q8)	288,515
C₃:₂(Dic₃.Q₈) = Dic₃.Dic₆	φ: Dic₃.Q₈/Dic₃:C₄ → C₂ ⊆ Aut C₃	96		C3:2(Dic3.Q8)	288,493
C₃:₃(Dic₃.Q₈) = C₆².₁₆C₂³	φ: Dic₃.Q₈/Dic₃:C₄ → C₂ ⊆ Aut C₃	96		C3:3(Dic3.Q8)	288,494
C₃:₄(Dic₃.Q₈) = C₆².₄₀C₂³	φ: Dic₃.Q₈/Dic₃:C₄ → C₂ ⊆ Aut C₃	96		C3:4(Dic3.Q8)	288,518
C₃:₅(Dic₃.Q₈) = C₆².₁₇C₂³	φ: Dic₃.Q₈/C₄:Dic₃ → C₂ ⊆ Aut C₃	96		C3:5(Dic3.Q8)	288,495
C₃:₆(Dic₃.Q₈) = C₆².₂₃₃C₂³	φ: Dic₃.Q₈/C₃xC₄:C₄ → C₂ ⊆ Aut C₃	288		C3:6(Dic3.Q8)	288,746

Non-split extensions G=N.Q with N=C₃ and Q=Dic₃.Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Dic₃.Q₈) = Dic₉.Q₈	φ: Dic₃.Q₈/C₃xC₄:C₄ → C₂ ⊆ Aut C₃	288		C3.(Dic3.Q8)	288,99

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