Finite Group DatabasebetaFinite Group Databasebeta| order | 38125 |
| automorphism | ? |
| homology | Abelianization (H1) = C53 · Schur multiplier (H2) = C52 |
No aliases for this group.
| Fitting | C61×5−1+2 ⋊ C5 |
| Sylow | C61 ⋊ #10597837 |
142 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7625 |
Polycyclic presentation:
5^4,61|c^5=d,b^a=bd,e^a=e^34,e^c=e^9493 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38125, 58);