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

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

		d	ρ	Label	ID
C₃×C₂³.₁₁D₆		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/C₄×Dic₃ → 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/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3:5(C2^3.11D6)	288,742
C₃⋊₆(C₂³.₁₁D₆) = C₆².₇₇C₂³	φ: C₂³.₁₁D₆/C₂×Dic₆ → C₂ ⊆ Aut C₃	48		C3:6(C2^3.11D6)	288,555
C₃⋊₇(C₂³.₁₁D₆) = C₆².₁₀₁C₂³	φ: C₂³.₁₁D₆/C₂×C₃⋊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/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	144		C3.(C2^3.11D6)	288,95

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