Finite Group DatabasebetaFinite Group Databasebeta| order | 7533 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C34 |
| direct product | C3×#14578900 |
| Fitting | C32×C9×C31 ⋊ C3 |
| Sylow | C31 ⋊ C3×#732 |
168 conjugacy classes of subgroups.
861 conjugacy classes — view the full character table.
| maximal subgroup of | #36379584, #36379585, #36379586, … |
| maximal normal subgroup of | #36379584, #36379585, #36379586, … |
| maximal quotient of | C3×#21419201, C3×#21419210, C3×#21419214, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7533, 253);