Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C214 |
| direct product | C22×#19099364 |
| Fitting | C23×D8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C22×#576 |
11462 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5056 |
2272 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 1083376);