Finite Group DatabasebetaFinite Group Databasebeta| order | 34100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C31 · Schur multiplier (H2) = C1 |
| direct product | C31×C11⋊#1035 |
| unambiguous semidirect product | C11⋊(C31×#1035) |
| Fitting, Hall | C11×C25×C31 ⋊ C4 |
| derived, Hall | C11×C25 ⋊ C4×C31 |
| Hall | C25×C31 ⋊ Dic11 |
| Hall | C11×C31 ⋊ #1035 |
| Sylow | C25 ⋊ C31×Dic11 |
| Sylow | C11 ⋊ C31×#1035 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8525 |
2480 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34100, 67);