Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³:₂D₆

Direct product G=NxQ with N=C₃ and Q=C₂³:₂D₆

		d	ρ	Label	ID
C₃xC₂³:₂D₆		48		C3xC2^3:2D6	288,708

Semidirect products G=N:Q with N=C₃ and Q=C₂³:₂D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂³:₂D₆) = D₆:₄D₁₂	φ: C₂³:₂D₆/D₆:C₄ → C₂ ⊆ Aut C₃	48		C3:1(C2^3:2D6)	288,570
C₃:₂(C₂³:₂D₆) = C₆²:₈D₄	φ: C₂³:₂D₆/C₆.D₄ → C₂ ⊆ Aut C₃	24		C3:2(C2^3:2D6)	288,629
C₃:₃(C₂³:₂D₆) = C₆².₁₂₅C₂³	φ: C₂³:₂D₆/C₂xC₃:D₄ → C₂ ⊆ Aut C₃	48		C3:3(C2^3:2D6)	288,631
C₃:₄(C₂³:₂D₆) = C₆²:₁₃D₄	φ: C₂³:₂D₆/C₆xD₄ → C₂ ⊆ Aut C₃	72		C3:4(C2^3:2D6)	288,794
C₃:₅(C₂³:₂D₆) = C₆²:₄D₄	φ: C₂³:₂D₆/S₃xC₂³ → C₂ ⊆ Aut C₃	48		C3:5(C2^3:2D6)	288,624

Non-split extensions G=N.Q with N=C₃ and Q=C₂³:₂D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³:₂D₆) = C₂³:₂D₁₈	φ: C₂³:₂D₆/C₆xD₄ → C₂ ⊆ Aut C₃	72		C3.(C2^3:2D6)	288,147

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