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

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

		d	ρ	Label	ID
C₃xD₄:D₆		48	4	C3xD4:D6	288,720

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(D₄:D₆) = D₁₂:₁₈D₆	φ: D₄:D₆/C₄.Dic₃ → C₂ ⊆ Aut C₃	24	4+	C3:1(D4:D6)	288,473
C₃:₂(D₄:D₆) = Dic₆:₃D₆	φ: D₄:D₆/D₄:S₃ → C₂ ⊆ Aut C₃	48	8+	C3:2(D4:D6)	288,573
C₃:₃(D₄:D₆) = D₁₂:₆D₆	φ: D₄:D₆/Q₈:₂S₃ → C₂ ⊆ Aut C₃	48	8+	C3:3(D4:D6)	288,587
C₃:₄(D₄:D₆) = D₁₂:₂₀D₆	φ: D₄:D₆/C₂xD₁₂ → C₂ ⊆ Aut C₃	48	4	C3:4(D4:D6)	288,471
C₃:₅(D₄:D₆) = C₆².₇₃D₄	φ: D₄:D₆/C₃xC₄oD₄ → C₂ ⊆ Aut C₃	72		C3:5(D4:D6)	288,806

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄:D₆) = D₄:D₁₈	φ: D₄:D₆/C₃xC₄oD₄ → C₂ ⊆ Aut C₃	72	4+	C3.(D4:D6)	288,160

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