| order | 22599 |
| automorphism | ? |
| homology | Abelianization (H1) = C33×C9 · Schur multiplier (H2) = C37 |
| direct product | C32×C32⋊(C31⋊C9) |
| Sylow | C31 ⋊ C32×C32⋊C9 |
2996 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, 3259);