Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#16837519 |
| Sylow | C59 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
868 conjugacy classes — view the full character table.
| maximal subgroup of | #28503926, #28503928, #28503933, … |
| maximal normal subgroup of | #28503926, #28503928, #28503933, … |
| maximal quotient of | C2×D8×C59⋊C8, C2×SD16×C59⋊C8, C2×Q16×C59⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13400);