Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#23764590 |
| Fitting | C22×C22⋊C8×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#2034 |
2006 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10112 |
3184 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 197033);