Finite Group DatabasebetaFinite Group Databasebeta| order | 31900 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C25 · Schur multiplier (H2) = C1 |
| direct product | C25×C11⋊#1181 |
| Fitting, Hall | C11×C25×C29 ⋊ C4 |
| derived, Hall | C11×C29 ⋊ C4×C25 |
| Hall | C25×C29 ⋊ Dic11 |
| Hall | C11×C25 ⋊ #1181 |
| Sylow | C29 ⋊ C25×Dic11 |
| Sylow | C11 ⋊ C25×#1181 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7975 |
2275 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31900, 22);