Finite Group DatabasebetaFinite Group Databasebeta| order | 7533 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C34 |
| direct product | #732×C31⋊C3 |
| Fitting | C31×#732 ⋊ C3 |
| Sylow | C31 ⋊ C3×#732 |
168 conjugacy classes of subgroups.
221 conjugacy classes — view the full character table.
| maximal subgroup of | C31⋊C3×#6878, C31⋊C3×#6879, #36382087, … |
| maximal normal subgroup of | C31⋊C3×#6878, C31⋊C3×#6879, #36382087, … |
| maximal quotient of | C31⋊C3×#6856, C31⋊C3×#6859, C31⋊C3×#6861, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7533, 251);