Finite Group DatabasebetaFinite Group Databasebeta| order | 20864 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×M16×D163 |
| Fitting | C4×M16×C163 ⋊ C2 |
| Sylow | C163 ⋊ C2×C4×M16 |
656 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5216 |
3320 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20864, 12915);