Extensions 1→N→G→Q→1 with N=C₃xQ₈ and Q=C₃

Direct product G=NxQ with N=C₃xQ₈ and Q=C₃

		d	ρ	Label	ID
Q₈xC₃²		72		Q8xC3^2	72,38

Semidirect products G=N:Q with N=C₃xQ₈ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xQ₈):C₃ = C₃xSL₂(F₃)	φ: C₃/C₁ → C₃ ⊆ Out C₃xQ₈	24	2	(C3xQ8):C3	72,25

Non-split extensions G=N.Q with N=C₃xQ₈ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xQ₈).C₃ = Q₈:C₉	φ: C₃/C₁ → C₃ ⊆ Out C₃xQ₈	72	2	(C3xQ8).C3	72,3
(C₃xQ₈).₂C₃ = Q₈xC₉	φ: trivial image	72	2	(C3xQ8).2C3	72,11

Extensions 1→N→G→Q→1 with N=C3xQ8 and Q=C3