Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₁₄D₆

Direct product G=NxQ with N=C₃ and Q=C₂³.₁₄D₆

		d	ρ	Label	ID
C₃xC₂³.₁₄D₆		48		C3xC2^3.14D6	288,710

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₁₄D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂³.₁₄D₆) = Dic₃:D₁₂	φ: C₂³.₁₄D₆/Dic₃:C₄ → C₂ ⊆ Aut C₃	48		C3:1(C2^3.14D6)	288,534
C₃:₂(C₂³.₁₄D₆) = C₆².₅₅C₂³	φ: C₂³.₁₄D₆/D₆:C₄ → C₂ ⊆ Aut C₃	96		C3:2(C2^3.14D6)	288,533
C₃:₃(C₂³.₁₄D₆) = C₆².₁₁₃C₂³	φ: C₂³.₁₄D₆/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:3(C2^3.14D6)	288,619
C₃:₄(C₂³.₁₄D₆) = C₆²:₆D₄	φ: C₂³.₁₄D₆/C₂²xDic₃ → C₂ ⊆ Aut C₃	48		C3:4(C2^3.14D6)	288,626
C₃:₅(C₂³.₁₄D₆) = C₆².₁₁₂C₂³	φ: C₂³.₁₄D₆/C₂xC₃:D₄ → C₂ ⊆ Aut C₃	48		C3:5(C2^3.14D6)	288,618
C₃:₆(C₂³.₁₄D₆) = C₆²:₇D₄	φ: C₂³.₁₄D₆/C₂xC₃:D₄ → C₂ ⊆ Aut C₃	48		C3:6(C2^3.14D6)	288,628
C₃:₇(C₂³.₁₄D₆) = C₆²:₁₄D₄	φ: C₂³.₁₄D₆/C₆xD₄ → C₂ ⊆ Aut C₃	144		C3:7(C2^3.14D6)	288,796

Non-split extensions G=N.Q with N=C₃ and Q=C₂³.₁₄D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³.₁₄D₆) = Dic₉:D₄	φ: C₂³.₁₄D₆/C₆xD₄ → C₂ ⊆ Aut C₃	144		C3.(C2^3.14D6)	288,149

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