Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄:₆D₆

Direct product G=NxQ with N=C₃ and Q=D₄:₆D₆

		d	ρ	Label	ID
C₃xD₄:₆D₆		24	4	C3xD4:6D6	288,994

Semidirect products G=N:Q with N=C₃ and Q=D₄:₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(D₄:₆D₆) = D₁₂:₂₄D₆	φ: D₄:₆D₆/C₄oD₁₂ → C₂ ⊆ Aut C₃	48	4	C3:1(D4:6D6)	288,955
C₃:₂(D₄:₆D₆) = D₁₂:₁₂D₆	φ: D₄:₆D₆/S₃xD₄ → C₂ ⊆ Aut C₃	48	8-	C3:2(D4:6D6)	288,961
C₃:₃(D₄:₆D₆) = D₁₂:₁₃D₆	φ: D₄:₆D₆/D₄:₂S₃ → C₂ ⊆ Aut C₃	24	8+	C3:3(D4:6D6)	288,962
C₃:₄(D₄:₆D₆) = C₃²:2₊¹⁺⁴	φ: D₄:₆D₆/C₂xC₃:D₄ → C₂ ⊆ Aut C₃	24	4	C3:4(D4:6D6)	288,978
C₃:₅(D₄:₆D₆) = C₃²:₈2₊¹⁺⁴	φ: D₄:₆D₆/C₆xD₄ → C₂ ⊆ Aut C₃	72		C3:5(D4:6D6)	288,1009

Non-split extensions G=N.Q with N=C₃ and Q=D₄:₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄:₆D₆) = D₄:₆D₁₈	φ: D₄:₆D₆/C₆xD₄ → C₂ ⊆ Aut C₃	72	4	C3.(D4:6D6)	288,358

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