Finite Group DatabasebetaFinite Group Databasebeta| order | 22100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C17 · Schur multiplier (H2) = C1 |
| direct product | C17×#13049904 |
| Fitting, Hall | C13×C17×C25 ⋊ C4 |
| derived, Hall | C13×C25 ⋊ C4×C17 |
| Hall | C17×C25 ⋊ #261 |
| Hall | C13×C17 ⋊ Dic25 |
| Sylow | C25 ⋊ C17×#261 |
| Sylow | C13 ⋊ C17×Dic25 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5525 |
1751 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22100, 35);