Finite Group DatabasebetaFinite Group Databasebeta| order | 34038 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C31 · Schur multiplier (H2) = C1 |
| direct product | C9×C31×D61 |
| Fitting, Hall | C9×C31×C61 ⋊ C2 |
| derived, Sylow | C61 ⋊ C2×C9×C31 |
| Hall | C31×C61 ⋊ C2×C9 |
| Hall | C9×C61 ⋊ C2×C31 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17019 |
8928 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34038, 6);