Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | D16×D167 |
| Fitting | D16×C167 ⋊ C2 |
| Sylow | C167 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
935 conjugacy classes — view the full character table.
| maximal subgroup of | D32×D167, SD64×D167, #36326449, … |
| maximal normal subgroup of | D32×D167, SD64×D167, #36326449, … |
| maximal quotient of | #357×D167, #366×D167, #36325982, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 968);