Finite Group DatabasebetaFinite Group Databasebeta| order | 11700 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2×C5 |
| direct product | C2×#19154328 |
| derived, Hall | C52×C13 ⋊ C22×C9 |
| Hall | C13×C52⋊C9 ⋊ C22 |
| Hall | C2×C5⋊D65 ⋊ C9 |
| Hall | C52⋊C9 ⋊ C2×D13 |
| Sylow | C52 ⋊ C2×C9×D13 |
| Sylow | C13 ⋊ C2×(C5⋊D5)⋊C9 |
100 conjugacy classes of subgroups.
456 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11700, 250);