Finite Group DatabasebetaFinite Group Databasebeta| order | 32844 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C7×C23 · Schur multiplier (H2) = C1 |
| direct product | C3×C7×C23×Dic17 |
| derived, Sylow | C17 ⋊ C3×C4×C7×C23 |
| Hall | C3×C7×C17×C23 ⋊ C4 |
| Hall | C7×C17×C23 ⋊ C3×C4 |
| Hall | C3×C17×C23 ⋊ C4×C7 |
| Hall | C17×C23 ⋊ C3×C4×C7 |
| Hall | C3×C7×C17 ⋊ C4×C23 |
| Hall | C7×C17 ⋊ C3×C4×C23 |
| Hall | C3×C17 ⋊ C4×C7×C23 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 32844 |
9660 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32844, 4);