Finite Group DatabasebetaFinite Group Databasebeta| order | 36100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C19 · Schur multiplier (H2) = C1 |
| direct product | C19×C19⋊#1035 |
| unambiguous semidirect product | C19⋊(C19×#1035) |
| Fitting, Hall | C192×C25 ⋊ C4 |
| derived | C19×C25 ⋊ C4×C19 |
| Sylow | C192 ⋊ #1035 |
| Sylow | C25 ⋊ C19×Dic19 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 950 |
2584 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36100, 56);