Finite Group DatabasebetaFinite Group Databasebeta| order | 14700 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×Dic525 |
| unambiguous semidirect product | C3⋊(C7×Dic175) |
| unambiguous semidirect product | C7⋊(C7×Dic75) |
| derived | C3×C7×C25 ⋊ C4×C7 |
| Hall | C3×C72×C25 ⋊ C4 |
| Hall | C72×C25 ⋊ Dic3 |
| Hall | C3×C72 ⋊ Dic25 |
| Hall | C3×C25 ⋊ C7×Dic7 |
| Sylow | C72 ⋊ Dic75 |
| Sylow | C25 ⋊ C7×Dic21 |
| Sylow | C3 ⋊ C7×Dic175 |
108 conjugacy classes of subgroups.
3696 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14700, 101);