Finite Group DatabasebetaFinite Group Databasebeta| order | 34580 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C7×C19 · Schur multiplier (H2) = C1 |
| direct product | C5×C7×C19×Dic13 |
| derived, Sylow | C13 ⋊ C4×C5×C7×C19 |
| Hall | C5×C7×C13×C19 ⋊ C4 |
| Hall | C7×C13×C19 ⋊ C4×C5 |
| Hall | C5×C13×C19 ⋊ C4×C7 |
| Hall | C5×C7×C13 ⋊ C4×C19 |
| Hall | C13×C19 ⋊ C4×C5×C7 |
| Hall | C7×C13 ⋊ C4×C5×C19 |
| Hall | C5×C13 ⋊ C4×C7×C19 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 34580 |
10640 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34580, 3);