Finite Group DatabasebetaFinite Group Databasebeta| order | 17100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C1 |
| direct product | #1035×#4294 |
| derived, Hall | C19×C25 ⋊ C4×C9 |
| Hall | C25×#4294 ⋊ C4 |
| Hall | C19×#1035 ⋊ C9 |
| Sylow | C25 ⋊ C4×#4294 |
| Sylow | C19 ⋊ C9×#1035 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4275 |
270 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17100, 14);