Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₂₆D₆

Direct product G=N×Q with N=C₃ and Q=C₂³.₂₆D₆

		d	ρ	Label	ID
C₃×C₂³.₂₆D₆		48		C3xC2^3.26D6	288,697

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₂₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₂₆D₆) = C₆².₂₅C₂³	φ: C₂³.₂₆D₆/C₄×Dic₃ → C₂ ⊆ Aut C₃	96		C3:1(C2^3.26D6)	288,503
C₃⋊₂(C₂³.₂₆D₆) = C₆².₁₁C₂³	φ: C₂³.₂₆D₆/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	96		C3:2(C2^3.26D6)	288,489
C₃⋊₃(C₂³.₂₆D₆) = C₆².₉₇C₂³	φ: C₂³.₂₆D₆/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:3(C2^3.26D6)	288,603
C₃⋊₄(C₂³.₂₆D₆) = C₆².₂₄₇C₂³	φ: C₂³.₂₆D₆/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3:4(C2^3.26D6)	288,783

Non-split extensions G=N.Q with N=C₃ and Q=C₂³.₂₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³.₂₆D₆) = C₂³.₂₆D₁₈	φ: C₂³.₂₆D₆/C₂²×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(C2^3.26D6)	288,136

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