Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14273760 |
| Fitting | C4×M16×C59 ⋊ C2 |
| Sylow | C59 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28483305, #28483307, #28483319, … |
| maximal normal subgroup of | #28483305, #28483307, #28483319, … |
| maximal quotient of | C8×#14273760, #28558287, #28558309, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13333);