Finite Group DatabasebetaFinite Group Databasebeta| order | 22990 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C121 · Schur multiplier (H2) = C1 |
| direct product | C5×D19×C121 |
| unambiguous semidirect product | C19⋊(C2×C5×C121) |
| Fitting, Hall | C5×C19×C121 ⋊ C2 |
| derived, Sylow | C19 ⋊ C2×C5×C121 |
| Hall | C19×C121 ⋊ C2×C5 |
| Hall | C5×C19 ⋊ C2×C121 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11495 |
6655 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22990, 3);