Finite Group DatabasebetaFinite Group Databasebeta| order | 31122 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C9×C13 · Schur multiplier (H2) = C1 |
| direct product | C7×C9×C13×D19 |
| Fitting, Hall | C7×C9×C13×C19 ⋊ C2 |
| derived, Sylow | C19 ⋊ C2×C7×C9×C13 |
| Hall | C9×C13×C19 ⋊ C2×C7 |
| Hall | C7×C13×C19 ⋊ C2×C9 |
| Hall | C7×C9×C19 ⋊ C2×C13 |
| Hall | C13×C19 ⋊ C2×C7×C9 |
| Hall | C9×C19 ⋊ C2×C7×C13 |
| Hall | C7×C19 ⋊ C2×C9×C13 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15561 |
9009 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31122, 15);