Finite Group DatabasebetaFinite Group Databasebeta| order | 34100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C25 · Schur multiplier (H2) = C1 |
| direct product | C4×#22555292 |
| derived, Hall | C11×C31 ⋊ C4×C25 |
| Hall | C4×C11×C31 ⋊ C25 |
| Hall | C4×C31 ⋊ C11⋊C25 |
| Hall | C4×C11 ⋊ C31⋊C25 |
| Sylow | C31 ⋊ C4×C11⋊C25 |
| Sylow | C11 ⋊ C4×C31⋊C25 |
36 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, 6);