Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | #452×D59 |
| Fitting | C59×#452 ⋊ C2 |
| Sylow | C59 ⋊ C2×#452 |
760 conjugacy classes of subgroups.
589 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#452×D59, D59×#3002, D59×#3005, … |
| maximal normal subgroup of | C2×#452×D59, D59×#3002, D59×#3005, … |
| maximal quotient of | D59×#1603, D59×#1615, D59×#1606, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13715);