Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q32×Dic59 |
| Sylow | C59 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
682 conjugacy classes — view the full character table.
| maximal subgroup of | #28509265, SD64×Dic59, #28509272, … |
| maximal normal subgroup of | #28509265, SD64×Dic59, #28509272, … |
| maximal quotient of | Q32×C59⋊C8, #28500606, #28500680, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 6369);