Finite Group DatabasebetaFinite Group Databasebeta| order | 22784 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Fitting | C2×#431×C89 ⋊ C2 |
| Sylow | C89 ⋊ #20733 |
1758 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5696 |
Polycyclic presentation:
2^8,89|a^2=g,d^2=eh,f^2=h,b^a=be,c^a=cf,f^a=fh,i^a=i^88,f^c=fh,i^c=i^883596 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22784, 169574);