#36589108

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁵

Aliases

No aliases for this group.

1038 conjugacy classes of subgroups.

μ_t(G) = 5696

Polycyclic presentation:

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

1982 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 204248);