Finite Group DatabasebetaFinite Group Databasebeta| order | 28900 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C17 · Schur multiplier (H2) = C1 |
| direct product | C17×#13133323 |
| Fitting, Hall | C172×C25 ⋊ C4 |
| derived | C17×C25 ⋊ C4×C17 |
| Sylow | C172 ⋊ #1035 |
| Sylow | C25 ⋊ C17×#595 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1700 |
1870 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28900, 64);