Finite Group DatabasebetaFinite Group Databasebeta| order | 18876 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C3×C121⋊#261 |
| unambiguous semidirect product | C121⋊(C3×#261) |
| Fitting, Hall | C3×C13×C121 ⋊ C4 |
| derived, Hall | C13×C121 ⋊ C3×C4 |
| Hall | C3×C121 ⋊ #261 |
| Sylow | C121 ⋊ C3×#261 |
| Hall | C3×C13 ⋊ Dic121 |
| Sylow | C13 ⋊ C3×Dic121 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4719 |
1461 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18876, 21);