Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×D8×D59 |
| Fitting | C4×D8×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×C4×D8 |
616 conjugacy classes of subgroups.
868 conjugacy classes — view the full character table.
| maximal subgroup of | D59×#1331, #28498436, D59×#1333, … |
| maximal normal subgroup of | D59×#1331, #28498436, D59×#1333, … |
| maximal quotient of | C8×D8×D59, D59×#1581, D59×#1589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13257);