Finite Group DatabasebetaFinite Group Databasebeta| order | 10404 |
| isoclinism | isoclinic class of D17 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C17 · Schur multiplier (H2) = C1 |
| direct product | C9×C17×Dic17 |
| derived | C17 ⋊ C4×C9×C17 |
| Hall | C9×C172 ⋊ C4 |
| Sylow | C172 ⋊ C4×C9 |
84 conjugacy classes of subgroups.
3060 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10404, 45);