Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#16837516 |
| Fitting | C2×#104×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
868 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16837516, #28587240, #28587247, … |
| maximal normal subgroup of | C4×#16837516, #28587240, #28587247, … |
| maximal quotient of | C2×#21422888, C2×#21422893, C2×#21422899, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13397);