Finite Group DatabasebetaFinite Group Databasebeta| order | 22932 |
| automorphism | ? |
| homology | Abelianization (H1) = C9 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | C22⋊#19153185 |
| derived, Hall | C22×C13×C49 ⋊ C9 |
| Hall | C13×C49 ⋊ C22⋊C9 |
| Hall | C22×C49 ⋊ C13⋊C9 |
| Hall | C22×C13 ⋊ C49⋊C9 |
| Sylow | C49 ⋊ C22⋊(C13⋊C9) |
| Sylow | C13 ⋊ C22⋊(C49⋊C9) |
| Sylow | C22 ⋊ #19153185 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11466 |
Polycyclic presentation:
3,2^2,7,13,3,7|a^3=f,d^7=g^2,b^a=bc,c^a=b,d^a=d^2g,e^a=e^3,g^a=g^22556 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22932, 69);