Finite Group DatabasebetaFinite Group Databasebeta| order | 31518 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C17 · Schur multiplier (H2) = C1 |
| direct product | C2×C17×C103⋊C9 |
| unambiguous semidirect product | (C2×C17×C103)⋊C9 |
| derived, Sylow | C103 ⋊ C2×C9×C17 |
| Hall | C2×C17×C103 ⋊ C9 |
| Hall | C17×C103 ⋊ C2×C9 |
| Hall | C2×C103 ⋊ C9×C17 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 31518 |
3774 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31518, 3);