Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C28 |
| direct product | C2×#342×D79 |
| Fitting | C2×#342×C79 ⋊ C2 |
| Sylow | C79 ⋊ C22×#342 |
4334 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2528 |
1804 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 166994);