Finite Group DatabasebetaFinite Group Databasebeta| order | 38125 |
| automorphism | ? |
| homology | Abelianization (H1) = C52 · Schur multiplier (H2) = C5 |
No aliases for this group.
| Fitting | C5×C25×C61 ⋊ C5 |
| Sylow | C61 ⋊ #10597833 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7625 |
Polycyclic presentation:
5^4,61|b^5=d^2,b^a=bc,c^a=cd,e^a=e^91549 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38125, 42);