Finite Group DatabasebetaFinite Group Databasebeta| order | 19375 |
| automorphism | ? |
| homology | Abelianization (H1) = C5×C25 · Schur multiplier (H2) = C5 |
No aliases for this group.
| Sylow | C31 ⋊ C25⋊C25 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 19375 |
Polycyclic presentation:
5^4,31|a^5=d,b^5=c,b^a=bc,e^a=e^8895 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19375, 22);