Finite Group DatabasebetaFinite Group Databasebeta| order | 36224 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#22583556 |
| Sylow | C283 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 36224 |
3992 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36224, 17622);