Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16813566 |
| Sylow | C113 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
806 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16813566, #28392429, #28392435, … |
| maximal normal subgroup of | C4×#16813566, #28392429, #28392435, … |
| maximal quotient of | C2×#20298399, C2×#20298401, C2×#20298425, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 973);