#36617883

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁴

Aliases

No aliases for this group.

732 conjugacy classes of subgroups.

μ_t(G) = 5696

Polycyclic presentation:

2^8,89|a^2=f,b^2=f,c^2=fh,e^2=h,g^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,c^b=cg,e^b=eh,g^b=gh,g^c=gh,i^c=i^88,e^d=eh

1979 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 233023);