Finite Group DatabasebetaFinite Group Databasebeta| order | 36224 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#31826291 |
| Sylow | C283 ⋊ C2×#366 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 36224 |
9068 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36224, 6287);