Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Sylow | C89 ⋊ #36609 |
1938 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11392 |
Polycyclic presentation:
2^8,89|a^2=fh,b^2=fgh,c^2=fgh,d^2=gh,e^2=fh,b^a=bf,c^a=cg,c^b=ch,e^b=eh,i^b=i^88,d^c=dh,e^d=eh,i^d=i^882534 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 375386);