Finite Group DatabasebetaFinite Group Databasebeta| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C27 · Schur multiplier (H2) = C32 |
| direct product | C27×#11719689 |
| Sylow | C31 ⋊ C27×3−1+2 |
220 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7533 |
2727 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22599, 2221);