Finite Group DatabasebetaFinite Group Databasebeta| order | 7533 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | C3×#14578901 |
| Sylow | C31 ⋊ C3×#733 |
132 conjugacy classes of subgroups.
381 conjugacy classes — view the full character table.
| maximal subgroup of | C9×#14578901, #36381140, #36381175, … |
| maximal normal subgroup of | C9×#14578901, #36381140, #36381175, … |
| maximal quotient of | C3×#21419205, C3×#21419206, C3×#21419208, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7533, 255);