Finite Group DatabasebetaFinite Group Databasebeta| order | 18700 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C11 · Schur multiplier (H2) = C1 |
| direct product | C11×#13133320 |
| Fitting, Hall | C11×C17×C25 ⋊ C4 |
| derived, Hall | C17×C25 ⋊ C4×C11 |
| Hall | C11×C25 ⋊ #595 |
| Hall | C11×C17 ⋊ Dic25 |
| Sylow | C25 ⋊ C11×#595 |
| Sylow | C17 ⋊ C11×Dic25 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4675 |
1408 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18700, 32);