Finite Group DatabasebetaFinite Group Databasebeta| order | 17100 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×C25⋊AGL(1,𝔽19) |
| unambiguous semidirect product | (C2×C25)⋊AGL(1,𝔽19) |
| unambiguous semidirect product | (C2×#4296)⋊D25 |
| Fitting | C2×C19×C25 ⋊ C2×C9 |
| derived, Hall | C19×C25 ⋊ C22×C9 |
| Hall | C25×#4296 ⋊ C22 |
| Hall | C2×D475 ⋊ C9 |
| Hall | #4296 ⋊ C2×D25 |
| Sylow | C25 ⋊ C2×AGL(1,𝔽19) |
| Sylow | C19 ⋊ C2×C9×D25 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 950 |
302 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17100, 98);