Extensions 1→N→G→Q→1 with N=Q₈xC₉ and Q=C₃

Direct product G=NxQ with N=Q₈xC₉ and Q=C₃

		d	ρ	Label	ID
Q₈xC₃xC₉		216		Q8xC3xC9	216,79

Semidirect products G=N:Q with N=Q₈xC₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₉):₁C₃ = C₉xSL₂(F₃)	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₉	72	2	(Q8xC9):1C3	216,38
(Q₈xC₉):₂C₃ = C₁₈.A₄	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₉	72	6	(Q8xC9):2C3	216,39
(Q₈xC₉):₃C₃ = Q₈x3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₉	72	6	(Q8xC9):3C3	216,81

Non-split extensions G=N.Q with N=Q₈xC₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₉).C₃ = Q₈:C₂₇	φ: C₃/C₁ → C₃ ⊆ Out Q₈xC₉	216	2	(Q8xC9).C3	216,3
(Q₈xC₉).₂C₃ = Q₈xC₂₇	φ: trivial image	216	2	(Q8xC9).2C3	216,11

Extensions 1→N→G→Q→1 with N=Q8xC9 and Q=C3