Finite Group DatabasebetaFinite Group Databasebeta| order | 14700 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C5 · Schur multiplier (H2) = C1 |
| direct product | C5×#15668734 |
| derived | C5×C72 ⋊ C3×C4×C5 |
| Hall | C5×C7⋊Dic35 ⋊ C3 |
| Hall | C52×#3861 ⋊ C4 |
| Hall | C52×C72 ⋊ C3×C4 |
| Hall | #3861 ⋊ C5×Dic5 |
| Sylow | C72 ⋊ C3×C5×Dic5 |
| Sylow | C52 ⋊ #10596874 |
320 conjugacy classes of subgroups.
520 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14700, 321);