Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈:₃D₆

Direct product G=NxQ with N=C₃ and Q=Q₈:₃D₆

		d	ρ	Label	ID
C₃xQ₈:₃D₆		48	4	C3xQ8:3D6	288,685

Semidirect products G=N:Q with N=C₃ and Q=Q₈:₃D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(Q₈:₃D₆) = C₂₄:₁D₆	φ: Q₈:₃D₆/C₈:S₃ → C₂ ⊆ Aut C₃	48	4+	C3:1(Q8:3D6)	288,442
C₃:₂(Q₈:₃D₆) = C₂₄:₆D₆	φ: Q₈:₃D₆/D₂₄ → C₂ ⊆ Aut C₃	48	4	C3:2(Q8:3D6)	288,446
C₃:₃(Q₈:₃D₆) = D₁₂:₅D₆	φ: Q₈:₃D₆/D₄:S₃ → C₂ ⊆ Aut C₃	24	8+	C3:3(Q8:3D6)	288,585
C₃:₄(Q₈:₃D₆) = D₁₂.₁₀D₆	φ: Q₈:₃D₆/Q₈:₂S₃ → C₂ ⊆ Aut C₃	48	8+	C3:4(Q8:3D6)	288,589
C₃:₅(Q₈:₃D₆) = C₂₄:₇D₆	φ: Q₈:₃D₆/C₃xSD₁₆ → C₂ ⊆ Aut C₃	72		C3:5(Q8:3D6)	288,771
C₃:₆(Q₈:₃D₆) = D₁₂.₇D₆	φ: Q₈:₃D₆/S₃xD₄ → C₂ ⊆ Aut C₃	48	8+	C3:6(Q8:3D6)	288,582
C₃:₇(Q₈:₃D₆) = D₁₂:₆D₆	φ: Q₈:₃D₆/Q₈:₃S₃ → C₂ ⊆ Aut C₃	48	8+	C3:7(Q8:3D6)	288,587

Non-split extensions G=N.Q with N=C₃ and Q=Q₈:₃D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈:₃D₆) = D₇₂:C₂	φ: Q₈:₃D₆/C₃xSD₁₆ → C₂ ⊆ Aut C₃	72	4+	C3.(Q8:3D6)	288,124

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