Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C22⋊C4×#11929624 |
| Fitting | C2×C4×C22⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C22⋊C4×#41 |
5646 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5056 |
3220 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 328770);