Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×C4×#14579187 |
| Fitting | C22×C4×D4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×C4×AGL(1,ℤ/8) |
3242 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5056 |
3208 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 1033630);