Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | SD32×D167 |
| Fitting | SD32×C167 ⋊ C2 |
| Sylow | C167 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
935 conjugacy classes — view the full character table.
| maximal subgroup of | C2×SD32×D167, #508×D167, #509×D167, … |
| maximal normal subgroup of | C2×SD32×D167, #508×D167, #509×D167, … |
| maximal quotient of | #357×D167, #358×D167, #367×D167, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 971);