Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈xC₉

Direct product G=NxQ with N=C₂² and Q=Q₈xC₉

		d	ρ	Label	ID
Q₈xC₂xC₁₈		288		Q8xC2xC18	288,369

Semidirect products G=N:Q with N=C₂² and Q=Q₈xC₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(Q₈xC₉) = Q₈xC₃.A₄	φ: Q₈xC₉/C₃xQ₈ → C₃ ⊆ Aut C₂²	72	6	C2^2:(Q8xC9)	288,346
C₂²:₂(Q₈xC₉) = C₉xC₂²:Q₈	φ: Q₈xC₉/C₃₆ → C₂ ⊆ Aut C₂²	144		C2^2:2(Q8xC9)	288,172

Non-split extensions G=N.Q with N=C₂² and Q=Q₈xC₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(Q₈xC₉) = C₉xC₈.C₄	φ: Q₈xC₉/C₃₆ → C₂ ⊆ Aut C₂²	144	2	C2^2.(Q8xC9)	288,58
C₂².₂(Q₈xC₉) = C₉xC₂.C₄²	central extension (φ=1)	288		C2^2.2(Q8xC9)	288,45
C₂².₃(Q₈xC₉) = C₄:C₄xC₁₈	central extension (φ=1)	288		C2^2.3(Q8xC9)	288,166

Extensions 1→N→G→Q→1 with N=C22 and Q=Q8xC9