Extensions 1→N→G→Q→1 with N=Q₈xC₃xC₆ and Q=C₃

Direct product G=NxQ with N=Q₈xC₃xC₆ and Q=C₃

		d	ρ	Label	ID
Q₈xC₃²xC₆		432		Q8xC3^2xC6	432,732

Semidirect products G=N:Q with N=Q₈xC₃xC₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₃xC₆):₁C₃ = C₂xQ₈:He₃	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):1C3	432,336
(Q₈xC₃xC₆):₂C₃ = C₂xQ₈xHe₃	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):2C3	432,407
(Q₈xC₃xC₆):₃C₃ = C₃xC₆xSL₂(F₃)	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6):3C3	432,698

Non-split extensions G=N.Q with N=Q₈xC₃xC₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₃xC₆).₁C₃ = C₆xQ₈:C₉	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₃xC₆	432		(Q8xC3xC6).1C3	432,334
(Q₈xC₃xC₆).₂C₃ = C₂xQ₈:3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6).2C3	432,335
(Q₈xC₃xC₆).₃C₃ = C₂xQ₈x3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₃xC₆	144		(Q8xC3xC6).3C3	432,408
(Q₈xC₃xC₆).₄C₃ = Q₈xC₃xC₁₈	φ: trivial image	432		(Q8xC3xC6).4C3	432,406

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