Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Sylow | C89 ⋊ #36599 |
1776 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11392 |
Polycyclic presentation:
2^8,89|a^2=gh,b^2=fh,c^2=gh,d^2=fh,e^2=h,b^a=bf,c^a=cg,i^a=i^88,c^b=ch,e^b=eh,d^c=dh,e^d=eh3590 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 375243);