Finite Group DatabasebetaFinite Group Databasebeta| order | 38125 |
| automorphism | ? |
| homology | Abelianization (H1) = C53 · Schur multiplier (H2) = C52 |
| direct product | C5×#21439343 |
| Fitting | C5×C25×C61 ⋊ C5 |
| Sylow | C61 ⋊ C5×5−1+2 |
160 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7625 |
1645 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38125, 52);