Finite Group DatabasebetaFinite Group Databasebeta| order | 35420 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7×C11×C23 · Schur multiplier (H2) = C1 |
| direct product | C7×C11×Dic5×C23 |
| derived, Sylow | C5 ⋊ C4×C7×C11×C23 |
| Hall | C5×C7×C11×C23 ⋊ C4 |
| Hall | C5×C11×C23 ⋊ C4×C7 |
| Hall | C5×C7×C23 ⋊ C4×C11 |
| Hall | C5×C7×C11 ⋊ C4×C23 |
| Hall | C5×C23 ⋊ C4×C7×C11 |
| Hall | C5×C11 ⋊ C4×C7×C23 |
| Hall | C5×C7 ⋊ C4×C11×C23 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 35420 |
14168 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35420, 11);