Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#19098678 |
| Fitting | C4×#131×C79 ⋊ C2 |
| Sylow | C79 ⋊ C4×#443 |
1046 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5056 |
3232 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 168121);