Finite Group DatabasebetaFinite Group Databasebeta| order | 20864 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C4×#19104705 |
| Fitting | C4×C22⋊C4×C163 ⋊ C2 |
| Sylow | C163 ⋊ C4×#120 |
1224 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5216 |
3296 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20864, 7014);