Finite Group DatabasebetaFinite Group Databasebeta| order | 7533 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | C3×#14578902 |
| Sylow | C31 ⋊ C3×#733 |
132 conjugacy classes of subgroups.
861 conjugacy classes — view the full character table.
| maximal subgroup of | #36379588, #36379589, #36379590, … |
| maximal normal subgroup of | #36379588, #36379589, #36379590, … |
| maximal quotient of | C3×#21419207, C3×#21419213, C3×#21419216, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7533, 256);