Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C27 · Schur multiplier (H2) = C220 |
| direct product | C2×#23778210 |
| Fitting | C22×H(5,𝔽2)×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×H(7,𝔽2) |
60570 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2528 |
2782 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 1083464);