Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | #466×D59 |
| Fitting | C59×#466 ⋊ C2 |
| Sylow | C59 ⋊ C2×#466 |
616 conjugacy classes of subgroups.
682 conjugacy classes — view the full character table.
| maximal subgroup of | D59×#1347, #28498924, D59×#1349, … |
| maximal normal subgroup of | D59×#1347, #28498924, D59×#1349, … |
| maximal quotient of | D59×#1667, D59×#1673, D59×#1681, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 14074);