Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C89×#1797 ⋊ C2 |
| Sylow | C89 ⋊ #7612 |
656 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11392 |
Polycyclic presentation:
2^8,89|a^2=e,c^2=g,d^2=g,e^2=h,b^a=bd,c^a=ch,d^a=df,i^a=i^88,d^b=dg,e^b=efg,i^b=i^882516 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 57727);