Finite Group DatabasebetaFinite Group Databasebeta| order | 18620 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C49 · Schur multiplier (H2) = C2 |
| direct product | C2×C49×D95 |
| unambiguous semidirect product | (C2×C5)⋊(D19×C49) |
| unambiguous semidirect product | (C2×C19)⋊(D5×C49) |
| Fitting | C2×C5×C19×C49 ⋊ C2 |
| derived, Hall | C5×C19 ⋊ C22×C49 |
| Hall | C5×C19×C49 ⋊ C22 |
| Hall | C19×C49 ⋊ C2×D5 |
| Hall | C5×C49 ⋊ C2×D19 |
| Sylow | C19 ⋊ C2×D5×C49 |
| Sylow | C5 ⋊ C2×D19×C49 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9310 |
4802 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18620, 23);