Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#23773013 |
| Fitting | C22×AGL(1,ℤ/8)×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#3055 |
3242 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5056 |
1780 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 1036708);