Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×C8×#11929607 |
| Fitting | C2×C82×C79 ⋊ C2 |
| Sylow | C79 ⋊ C2×C8×M16 |
1046 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10112 |
5152 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 135139);