Finite Group DatabasebetaFinite Group Databasebeta| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C92 · Schur multiplier (H2) = C3×C9 |
| direct product | C27⋊C3×C31⋊C9 |
| Sylow | C31 ⋊ C9×C27⋊C3 |
320 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, 1969);