Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xDic₃:C₄

Direct product G=NxQ with N=C₃ and Q=C₂xDic₃:C₄

		d	ρ	Label	ID
C₆xDic₃:C₄		96		C6xDic3:C4	288,694

Semidirect products G=N:Q with N=C₃ and Q=C₂xDic₃:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂xDic₃:C₄) = S₃xDic₃:C₄	φ: C₂xDic₃:C₄/Dic₃:C₄ → C₂ ⊆ Aut C₃	96		C3:1(C2xDic3:C4)	288,524
C₃:₂(C₂xDic₃:C₄) = C₂xDic₃:Dic₃	φ: C₂xDic₃:C₄/C₂²xDic₃ → C₂ ⊆ Aut C₃	96		C3:2(C2xDic3:C4)	288,613
C₃:₃(C₂xDic₃:C₄) = C₂xC₆².C₂²	φ: C₂xDic₃:C₄/C₂²xDic₃ → C₂ ⊆ Aut C₃	96		C3:3(C2xDic3:C4)	288,615
C₃:₄(C₂xDic₃:C₄) = C₂xC₆.Dic₆	φ: C₂xDic₃:C₄/C₂²xC₁₂ → C₂ ⊆ Aut C₃	288		C3:4(C2xDic3:C4)	288,780

Non-split extensions G=N.Q with N=C₃ and Q=C₂xDic₃:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂xDic₃:C₄) = C₂xDic₉:C₄	φ: C₂xDic₃:C₄/C₂²xC₁₂ → C₂ ⊆ Aut C₃	288		C3.(C2xDic3:C4)	288,133

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