Finite Group DatabasebetaFinite Group Databasebeta| order | 16900 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×#13049904 |
| Fitting, Hall | C132×C25 ⋊ C4 |
| derived | C13×C25 ⋊ C4×C13 |
| Sylow | C132 ⋊ Dic25 |
| Sylow | C25 ⋊ C13×#261 |
45 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1300 |
1339 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16900, 73);