Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×#23766434 |
| Fitting | C22×C4×D4×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×#2363 |
4046 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10112 |
3220 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 329117);