Finite Group DatabasebetaFinite Group Databasebeta| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C33×C9 · Schur multiplier (H2) = C35 |
| direct product | #737×C31⋊C9 |
| Sylow | C31 ⋊ C9×#737 |
986 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7533 |
1287 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22599, 3284);