Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16838206 |
| Fitting | C2×AGL(1,ℤ/8)×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×#576 |
1512 conjugacy classes of subgroups.
682 conjugacy classes — view the full character table.
| maximal subgroup of | #28604590, #28604617, #28604666, … |
| maximal normal subgroup of | #28604590, #28604617, #28604666, … |
| maximal quotient of | C2×#21432620, C2×#21432621, C2×#21432695, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 19262);