Finite Group DatabasebetaFinite Group Databasebeta| order | 7533 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | #733×C31⋊C3 |
| Fitting | C31×#733 ⋊ C3 |
| Sylow | C31 ⋊ C3×#733 |
132 conjugacy classes of subgroups.
221 conjugacy classes — view the full character table.
| maximal subgroup of | C31⋊C3×#6878, C31⋊C3×#6880, #36382087, … |
| maximal normal subgroup of | C31⋊C3×#6878, C31⋊C3×#6880, #36382087, … |
| maximal quotient of | C31⋊C3×#6858, C31⋊C3×#6860, C31⋊C3×#6861, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7533, 254);