Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | #413×D59 |
| Fitting | C59×#413 ⋊ C2 |
| Sylow | C59 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
682 conjugacy classes — view the full character table.
| maximal subgroup of | D59×#1392, #28503651, D59×#1395, … |
| maximal normal subgroup of | D59×#1392, #28503651, D59×#1395, … |
| maximal quotient of | D59×#1458, D59×#1459, #28554497, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 12981);