Finite Group DatabasebetaFinite Group Databasebeta| order | 34100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C25×C31 · Schur multiplier (H2) = C1 |
| direct product | C31×Dic11⋊C25 |
| unambiguous semidirect product | Dic11⋊(C25×C31) |
| unambiguous semidirect product | (C11⋊C25)⋊(C4×C31) |
| derived, Sylow | C11 ⋊ C4×C25×C31 |
| Hall | C31×C11⋊C25 ⋊ C4 |
| Hall | C31×Dic11 ⋊ C25 |
| Hall | C11×C31 ⋊ C4×C25 |
| Hall | C11⋊C25 ⋊ C4×C31 |
| Hall | Dic11 ⋊ C25×C31 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 34100 |
3410 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34100, 22);