Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic2528 |
| Sylow | C79 ⋊ C2×Q128 |
126 conjugacy classes of subgroups.
| transitive degree | μt(G) = 20224 |
5062 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 90618);