Finite Group DatabasebetaFinite Group Databasebeta| order | 17100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C5 |
| direct product | C4×C52⋊#4296 |
| unambiguous semidirect product | (C4×C52)⋊#4296 |
| Fitting, Hall | C4×C52×C19 ⋊ C9 |
| derived, Hall | C52×C19 ⋊ C4×C9 |
| Hall | C4×C52 ⋊ #4296 |
| Hall | C4×C19 ⋊ C52⋊C9 |
| Sylow | C52 ⋊ C4×#4296 |
| Sylow | C19 ⋊ C4×C52⋊C9 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1140 |
332 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17100, 281);