Finite Group DatabasebetaFinite Group Databasebeta| order | 36224 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C22×#22583549 |
| Fitting | C22×C16×C283 ⋊ C2 |
| Sylow | C283 ⋊ C22×M32 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
9104 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36224, 17605);