Finite Group DatabasebetaFinite Group Databasebeta| order | 36260 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C49 · Schur multiplier (H2) = C2 |
| direct product | C2×C49×D185 |
| unambiguous semidirect product | (C2×C5)⋊(C49×D37) |
| unambiguous semidirect product | (C2×C37)⋊(D5×C49) |
| Fitting | C2×C5×C37×C49 ⋊ C2 |
| derived, Hall | C5×C37 ⋊ C22×C49 |
| Hall | C5×C37×C49 ⋊ C22 |
| Hall | C37×C49 ⋊ C2×D5 |
| Hall | C5×C49 ⋊ C2×D37 |
| Sylow | C37 ⋊ C2×D5×C49 |
| Sylow | C5 ⋊ C2×C49×D37 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18130 |
9212 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36260, 31);