Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16837228 |
| Sylow | C59 ⋊ C2×#366 |
168 conjugacy classes of subgroups.
1900 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28476389, #28476390, #28476407, … |
| maximal normal subgroup of | #28476389, #28476390, #28476407, … |
| maximal quotient of | C2×#21422168, #28500331, #28500370, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 6287);