| order | 31122 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C9×C19 · Schur multiplier (H2) = C1 |
| direct product | C7×C19×D13⋊C9 |
| unambiguous semidirect product | D13⋊(C7×C9×C19) |
| unambiguous semidirect product | (C13⋊C9)⋊(C2×C7×C19) |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15561 |
3192 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31122, 44);