Finite Group DatabasebetaFinite Group Databasebeta| order | 14700 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C25 · Schur multiplier (H2) = C1 |
| direct product | C25×#10596873 |
| derived, Sylow | C72 ⋊ C3×C4×C25 |
| Hall | C7×C25×Dic7 ⋊ C3 |
| Hall | C25×#3861 ⋊ C4 |
| Hall | C72×C25 ⋊ C3×C4 |
| Hall | C7×Dic7 ⋊ C3×C25 |
| Hall | #3861 ⋊ C4×C25 |
108 conjugacy classes of subgroups.
850 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14700, 75);