Finite Group DatabasebetaFinite Group Databasebeta| order | 11700 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C3 |
| direct product | C13×#11744620 |
| Fitting, Hall | C32×C13×C25 ⋊ C4 |
| derived, Hall | C32×C25 ⋊ C4×C13 |
| Hall | C13×C25 ⋊ #157 |
| Hall | C32×C13 ⋊ Dic25 |
| Sylow | C25 ⋊ C13×#157 |
| Sylow | C32 ⋊ C13×Dic25 |
60 conjugacy classes of subgroups.
1014 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11700, 177);