Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₉D₆

Direct product G=NxQ with N=C₃ and Q=C₂³.₉D₆

		d	ρ	Label	ID
C₃xC₂³.₉D₆		48		C3xC2^3.9D6	288,654

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₉D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂³.₉D₆) = C₆².₂₃C₂³	φ: C₂³.₉D₆/Dic₃:C₄ → C₂ ⊆ Aut C₃	48		C3:1(C2^3.9D6)	288,501
C₃:₂(C₂³.₉D₆) = C₆².₂₄C₂³	φ: C₂³.₉D₆/C₄:Dic₃ → C₂ ⊆ Aut C₃	48		C3:2(C2^3.9D6)	288,502
C₃:₃(C₂³.₉D₆) = D₆.₉D₁₂	φ: C₂³.₉D₆/D₆:C₄ → C₂ ⊆ Aut C₃	96		C3:3(C2^3.9D6)	288,539
C₃:₄(C₂³.₉D₆) = C₆².₁₁₇C₂³	φ: C₂³.₉D₆/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:4(C2^3.9D6)	288,623
C₃:₅(C₂³.₉D₆) = C₆².₂₂₇C₂³	φ: C₂³.₉D₆/C₃xC₂²:C₄ → C₂ ⊆ Aut C₃	144		C3:5(C2^3.9D6)	288,740
C₃:₆(C₂³.₉D₆) = C₆².₇₅C₂³	φ: C₂³.₉D₆/S₃xC₂xC₄ → C₂ ⊆ Aut C₃	96		C3:6(C2^3.9D6)	288,553
C₃:₇(C₂³.₉D₆) = C₆².₁₁₁C₂³	φ: C₂³.₉D₆/C₂xC₃:D₄ → C₂ ⊆ Aut C₃	48		C3:7(C2^3.9D6)	288,617

Non-split extensions G=N.Q with N=C₃ and Q=C₂³.₉D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³.₉D₆) = C₂³.₉D₁₈	φ: C₂³.₉D₆/C₃xC₂²:C₄ → C₂ ⊆ Aut C₃	144		C3.(C2^3.9D6)	288,93

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