Finite Group DatabasebetaFinite Group Databasebeta| order | 28900 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C17×C25 · Schur multiplier (H2) = C1 |
| direct product | C17×C25×#595 |
| Fitting, Hall | C172×C25 ⋊ C4 |
| derived | C17 ⋊ C4×C17×C25 |
| Sylow | C172 ⋊ C4×C25 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1700 |
3400 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28900, 58);