Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | SD16×C22⋊D59 |
| Fitting | C22×SD16×C59 ⋊ C2 |
| Sylow | C59 ⋊ D4×SD16 |
546 conjugacy classes of subgroups.
847 conjugacy classes — view the full character table.
| maximal subgroup of | D4×SD16×D59, C2×SD16×C22⋊D59, #29463978, … |
| maximal normal subgroup of | D4×SD16×D59, C2×SD16×C22⋊D59, #29463978, … |
| maximal quotient of | #28578152, #28578157, #28578167, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 16200);