Finite Group DatabasebetaFinite Group Databasebeta| order | 34100 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C25 · Schur multiplier (H2) = C2 |
| direct product | C2×D31×C11⋊C25 |
| derived, Hall | C11×C31 ⋊ C22×C25 |
| Hall | C31×C11⋊C25 ⋊ C22 |
| Hall | C2×C11×D31 ⋊ C25 |
| Sylow | C31 ⋊ C22×C11⋊C25 |
| Sylow | C11 ⋊ C2×C25×D31 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17050 |
1190 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34100, 55);