Finite Group DatabasebetaFinite Group Databasebeta| order | 7533 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C34 |
No aliases for this group.
| Fitting | C31×#732 ⋊ C3 |
| Sylow | C31 ⋊ #6911 |
160 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,31|b^3=e^2,b^a=bd,d^a=de,c^b=ce,f^c=f^25205 conjugacy classes — view the full character table.
| maximal subgroup of | #36382163, #36382166, #36382169, … |
| maximal normal subgroup of | #36382163, #36382166, #36382169, … |
| maximal quotient of | #36380073, #36380116, #36380156, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7533, 273);