Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | M16×#11929611 |
| Fitting | Q8×M16×C79 ⋊ C2 |
| Sylow | C79 ⋊ M16×SD16 |
716 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5056 |
2020 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 141008);