Finite Group DatabasebetaFinite Group Databasebeta| order | 14700 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C5 |
| direct product | C3×C49⋊#1039 |
| derived, Hall | C52×C49 ⋊ C3×C4 |
| Hall | C3×C52×C49 ⋊ C4 |
| Hall | C3×C49 ⋊ #1039 |
| Hall | C3×C52 ⋊ Dic49 |
| Sylow | C49 ⋊ C3×#1039 |
| Sylow | C52 ⋊ C3×Dic49 |
144 conjugacy classes of subgroups.
3684 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14700, 62);