Finite Group DatabasebetaFinite Group Databasebeta| order | 35340 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C5×C31 · Schur multiplier (H2) = C1 |
| direct product | C3×C5×C31×Dic19 |
| derived, Sylow | C19 ⋊ C3×C4×C5×C31 |
| Hall | C3×C5×C19×C31 ⋊ C4 |
| Hall | C5×C19×C31 ⋊ C3×C4 |
| Hall | C3×C19×C31 ⋊ C4×C5 |
| Hall | C19×C31 ⋊ C3×C4×C5 |
| Hall | C3×C5×C19 ⋊ C4×C31 |
| Hall | C5×C19 ⋊ C3×C4×C31 |
| Hall | C3×C19 ⋊ C4×C5×C31 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 35340 |
10230 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35340, 12);