Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₄xDic₃

Direct product G=NxQ with N=C₃ and Q=C₂xC₄xDic₃

		d	ρ	Label	ID
Dic₃xC₂xC₁₂		96		Dic3xC2xC12	288,693

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₄xDic₃

extension	φ:Q→Aut N	d	Label	ID
C₃:₁(C₂xC₄xDic₃) = C₄xS₃xDic₃	φ: C₂xC₄xDic₃/C₄xDic₃ → C₂ ⊆ Aut C₃	96	C3:1(C2xC4xDic3)	288,523
C₃:₂(C₂xC₄xDic₃) = C₂xDic₃²	φ: C₂xC₄xDic₃/C₂²xDic₃ → C₂ ⊆ Aut C₃	96	C3:2(C2xC4xDic3)	288,602
C₃:₃(C₂xC₄xDic₃) = C₂xC₄xC₃:Dic₃	φ: C₂xC₄xDic₃/C₂²xC₁₂ → C₂ ⊆ Aut C₃	288	C3:3(C2xC4xDic3)	288,779

Non-split extensions G=N.Q with N=C₃ and Q=C₂xC₄xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂xC₄xDic₃) = C₂xC₄xDic₉	φ: C₂xC₄xDic₃/C₂²xC₁₂ → C₂ ⊆ Aut C₃	288		C3.(C2xC4xDic3)	288,132

Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC4xDic3