Finite Group DatabasebetaFinite Group Databasebeta| order | 17748 |
| isoclinism | isoclinic class of D17 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C29 · Schur multiplier (H2) = C1 |
| direct product | C9×C29×Dic17 |
| derived, Sylow | C17 ⋊ C4×C9×C29 |
| Hall | C9×C17×C29 ⋊ C4 |
| Hall | C17×C29 ⋊ C4×C9 |
| Hall | C9×C17 ⋊ C4×C29 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17748 |
5220 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17748, 3);