Finite Group DatabasebetaFinite Group Databasebeta| order | 17100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C25 · Schur multiplier (H2) = C1 |
| direct product | C25×#4296⋊C4 |
| unambiguous semidirect product | #4296⋊(C4×C25) |
| derived, Sylow | C19 ⋊ C4×C9×C25 |
| Hall | C25×#4296 ⋊ C4 |
| Hall | C25×Dic19 ⋊ C9 |
| Hall | C19×C25 ⋊ C4×C9 |
| Hall | #4296 ⋊ C4×C25 |
| Hall | Dic19 ⋊ C9×C25 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1900 |
950 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17100, 42);