#36449690

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

C₈₉ ⋊ #9059

550 conjugacy classes of subgroups.

μ_t(G) = 22784

Polycyclic presentation:

2^8,89|a^2=f,b^2=df,c^2=h,d^2=g,e^2=gh,f^2=g,b^a=bd,c^a=ce,e^a=eh,d^b=dg,e^b=eg,f^b=fg,i^b=i^88,d^c=dg,e^c=egh,f^c=fg,i^c=i^88

2516 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 64830);