Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16837240 |
| Sylow | C59 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
676 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16837240, #28509271, #28509277, … |
| maximal normal subgroup of | C4×#16837240, #28509271, #28509277, … |
| maximal quotient of | C2×#21422274, C2×#21422276, C2×#21422297, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 6811);