Finite Group DatabasebetaFinite Group Databasebeta| order | 11700 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3×C5 |
| direct product | C3×#16839056 |
| derived, Hall | C52×C13 ⋊ C32×C4 |
| Hall | C3×C13×C52⋊C3 ⋊ C4 |
| Hall | #13049918 ⋊ C32 |
| Hall | C3×C52⋊C3 ⋊ Dic13 |
| Sylow | C52 ⋊ C32×Dic13 |
| Sylow | C13 ⋊ C3×#1039⋊C3 |
96 conjugacy classes of subgroups.
456 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11700, 347);