Finite Group DatabasebetaFinite Group Databasebeta| order | 17100 |
| isoclinism | isoclinic class of #4296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9×C25 · Schur multiplier (H2) = C2 |
| direct product | C22×C25×#4296 |
| Fitting, Hall | C22×C19×C25 ⋊ C9 |
| derived, Sylow | C19 ⋊ C22×C9×C25 |
| Hall | C19×C25 ⋊ C22×C9 |
| Hall | C22×C19 ⋊ C9×C25 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1900 |
1100 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17100, 111);