Finite Group DatabasebetaFinite Group Databasebeta| order | 19375 |
| automorphism | ? |
| homology | Abelianization (H1) = C52 · Schur multiplier (H2) = C5 |
No aliases for this group.
| Fitting | C31×5−1+2 ⋊ C5 |
| Sylow | C31 ⋊ #10597833 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3875 |
Polycyclic presentation:
5^4,31|b^5=d^2,b^a=bc,c^a=cd,e^a=e^2,e^b=e^16223 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19375, 44);