Finite Group DatabasebetaFinite Group Databasebeta| order | 20988 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C11 · Schur multiplier (H2) = C1 |
| direct product | C11×C9⋊#6157 |
| unambiguous semidirect product | C9⋊(C11×#6157) |
| Fitting, Hall | C9×C11×C53 ⋊ C4 |
| derived, Hall | C9×C53 ⋊ C4×C11 |
| Hall | C11×C53 ⋊ Dic9 |
| Hall | C9×C11 ⋊ #6157 |
| Sylow | C53 ⋊ C11×Dic9 |
| Sylow | C9 ⋊ C11×#6157 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5247 |
1419 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20988, 13);