Finite Group DatabasebetaFinite Group Databasebeta| order | 17100 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25 · Schur multiplier (H2) = C2×C3 |
| direct product | C3⋊D3×C25×D19 |
| unambiguous semidirect product | (C3×D19)⋊(D3×C25) |
| Fitting, Hall | C32×C19×C25 ⋊ C22 |
| derived, Hall | C32×C19 ⋊ C22×C25 |
| Hall | C19×C25 ⋊ C2×C3⋊D3 |
| Hall | C32×C25 ⋊ C2×D19 |
| Sylow | C19 ⋊ C2×C3⋊D3×C25 |
| Sylow | C32 ⋊ C2×C25×D19 |
180 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4275 |
1650 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17100, 132);