Finite Group DatabasebetaFinite Group Databasebeta| order | 18972 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C31 · Schur multiplier (H2) = C1 |
| direct product | C31×Dic153 |
| unambiguous semidirect product | C9⋊(C31×Dic17) |
| derived, Hall | C9×C17 ⋊ C4×C31 |
| Hall | C9×C17×C31 ⋊ C4 |
| Hall | C17×C31 ⋊ Dic9 |
| Hall | C9×C31 ⋊ Dic17 |
| Sylow | C17 ⋊ C31×Dic9 |
| Sylow | C9 ⋊ C31×Dic17 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18972 |
4836 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18972, 8);