Finite Group DatabasebetaFinite Group Databasebeta| order | 17100 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2×C5 |
| direct product | C2×#22555511 |
| derived, Hall | C52×C19 ⋊ C22×C9 |
| Hall | C52⋊#4294 ⋊ C22 |
| Hall | C2×C52×D19 ⋊ C9 |
| Hall | C2×D19 ⋊ C52⋊C9 |
| Sylow | C52 ⋊ C2×#4294⋊C2 |
| Sylow | C19 ⋊ C22×C52⋊C9 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1710 |
582 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17100, 207);