Finite Group DatabasebetaFinite Group Databasebeta| order | 34375 |
| automorphism | ? |
| homology | Abelianization (H1) = C52 · Schur multiplier (H2) = C5 |
No aliases for this group.
| Fitting | C11×#10597831 ⋊ C5 |
| Sylow | C11 ⋊ #15691095 |
74 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1375 |
Polycyclic presentation:
5^5,11|b^5=e,b^a=bc,c^a=cd,d^a=de,f^a=f^4,c^b=ce,f^b=f^3151 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34375, 236);