Finite Group DatabasebetaFinite Group Databasebeta| order | 9900 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25 · Schur multiplier (H2) = C2 |
| direct product | D9×D11×C25 |
| Fitting, Hall | C9×C11×C25 ⋊ C22 |
| derived, Hall | C9×C11 ⋊ C22×C25 |
| Hall | C11×C25 ⋊ C2×D9 |
| Hall | C9×C25 ⋊ C2×D11 |
| Sylow | C11 ⋊ C2×D9×C25 |
| Sylow | C9 ⋊ C2×D11×C25 |
90 conjugacy classes of subgroups.
1050 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9900, 25);