Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16838200 |
| Fitting | C22×#41×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×#575 |
1484 conjugacy classes of subgroups.
1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28495457, #28495458, #28495461, … |
| maximal normal subgroup of | #28495457, #28495458, #28495461, … |
| maximal quotient of | C2×#21432613, C2×#21432615, C2×#21432685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 19255);