Finite Group DatabasebetaFinite Group Databasebeta| order | 11700 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C1 |
| direct product | C9×Dic325 |
| derived, Hall | C13×C25 ⋊ C4×C9 |
| Hall | C9×C13×C25 ⋊ C4 |
| Hall | C9×C25 ⋊ Dic13 |
| Hall | C9×C13 ⋊ Dic25 |
| Sylow | C25 ⋊ C9×Dic13 |
| Sylow | C13 ⋊ C9×Dic25 |
54 conjugacy classes of subgroups.
2952 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11700, 8);