Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C27 · Schur multiplier (H2) = C220 |
| direct product | C22×#19099398 |
| Fitting | C22×H(5,𝔽2)×C79 ⋊ C2 |
| Sylow | C79 ⋊ C22×#585 |
60366 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5056 |
2788 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 1083460);