Finite Group DatabasebetaFinite Group Databasebeta| order | 14700 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C7 |
| direct product | C3×C7⋊Dic175 |
| derived, Hall | C72×C25 ⋊ C3×C4 |
| Hall | C3×C72×C25 ⋊ C4 |
| Hall | C3×C72 ⋊ Dic25 |
| Hall | C3×C25 ⋊ C7⋊Dic7 |
| Sylow | C72 ⋊ C3×Dic25 |
| Sylow | C25 ⋊ C3×C7⋊Dic7 |
180 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, 96);