Finite Group DatabasebetaFinite Group Databasebeta| order | 36224 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C214 |
| direct product | C24×Dic566 |
| Sylow | C283 ⋊ C24×Q8 |
6264 conjugacy classes of subgroups.
| transitive degree | μt(G) = 36224 |
9104 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36224, 19305);