Finite Group DatabasebetaFinite Group Databasebeta| order | 11700 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4 · Schur multiplier (H2) = C3×C5 |
| direct product | C3×#16839058 |
| derived, Hall | C52×C13 ⋊ C32×C4 |
| Hall | C3×C13⋊(C52⋊C3) ⋊ C4 |
| Hall | #13049918 ⋊ C32 |
| Sylow | C52 ⋊ C3×Dic13⋊C3 |
| Sylow | C13 ⋊ C3×#1039⋊C3 |
96 conjugacy classes of subgroups.
360 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11700, 345);