Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₁₁D₆

Direct product G=NxQ with N=C₃ and Q=C₂³.₁₁D₆

		d	ρ	Label	ID
C₃xC₂³.₁₁D₆		48		C3xC2^3.11D6	288,656

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₁₁D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂³.₁₁D₆) = Dic₃.D₁₂	φ: C₂³.₁₁D₆/C₄xDic₃ → C₂ ⊆ Aut C₃	48		C3:1(C2^3.11D6)	288,500
C₃:₂(C₂³.₁₁D₆) = C₆².₈₃C₂³	φ: C₂³.₁₁D₆/D₆:C₄ → C₂ ⊆ Aut C₃	96		C3:2(C2^3.11D6)	288,561
C₃:₃(C₂³.₁₁D₆) = C₆².₈₅C₂³	φ: C₂³.₁₁D₆/D₆:C₄ → C₂ ⊆ Aut C₃	96		C3:3(C2^3.11D6)	288,563
C₃:₄(C₂³.₁₁D₆) = C₆².₉₅C₂³	φ: C₂³.₁₁D₆/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:4(C2^3.11D6)	288,601
C₃:₅(C₂³.₁₁D₆) = C₆².₂₂₉C₂³	φ: C₂³.₁₁D₆/C₃xC₂²:C₄ → C₂ ⊆ Aut C₃	144		C3:5(C2^3.11D6)	288,742
C₃:₆(C₂³.₁₁D₆) = C₆².₇₇C₂³	φ: C₂³.₁₁D₆/C₂xDic₆ → C₂ ⊆ Aut C₃	48		C3:6(C2^3.11D6)	288,555
C₃:₇(C₂³.₁₁D₆) = C₆².₁₀₁C₂³	φ: C₂³.₁₁D₆/C₂xC₃:D₄ → C₂ ⊆ Aut C₃	48		C3:7(C2^3.11D6)	288,607

Non-split extensions G=N.Q with N=C₃ and Q=C₂³.₁₁D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³.₁₁D₆) = Dic₉.D₄	φ: C₂³.₁₁D₆/C₃xC₂²:C₄ → C₂ ⊆ Aut C₃	144		C3.(C2^3.11D6)	288,95

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