Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | SD32×D163 |
| Fitting | SD32×C163 ⋊ C2 |
| Sylow | C163 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
913 conjugacy classes — view the full character table.
| maximal subgroup of | C2×SD32×D163, #508×D163, #509×D163, … |
| maximal normal subgroup of | C2×SD32×D163, #508×D163, #509×D163, … |
| maximal quotient of | #357×D163, #358×D163, #367×D163, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 971);