Finite Group DatabasebetaFinite Group Databasebeta| order | 17100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×C9⋊#1042 |
| unambiguous semidirect product | C9⋊(C19×#1042) |
| Fitting, Hall | C52×C9×C19 ⋊ C4 |
| derived, Hall | C52×C9 ⋊ C4×C19 |
| Hall | C52×C19 ⋊ Dic9 |
| Hall | C9×C19 ⋊ #1042 |
| Sylow | C52 ⋊ C19×Dic9 |
| Sylow | C9 ⋊ C19×#1042 |
78 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3420 |
1767 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17100, 234);