Finite Group DatabasebetaFinite Group Databasebeta| order | 34100 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25 · Schur multiplier (H2) = C2 |
| direct product | C22×#22555294 |
| derived, Hall | C11×C31 ⋊ C22×C25 |
| Hall | C22×C11×C31 ⋊ C25 |
| Hall | C22×C31 ⋊ C11⋊C25 |
| Hall | C22×C11 ⋊ C31⋊C25 |
| Sylow | C31 ⋊ C22×C11⋊C25 |
| Sylow | C11 ⋊ C22×C31⋊C25 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 34100 |
1460 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34100, 59);