Finite Group DatabasebetaFinite Group Databasebeta| order | 20864 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×D2608 |
| Fitting | C22×C16×C163 ⋊ C2 |
| Sylow | C163 ⋊ C22×D16 |
440 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10432 |
5228 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20864, 17616);