Finite Group DatabasebetaFinite Group Databasebeta| order | 32004 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C7 · Schur multiplier (H2) = C1 |
| direct product | C7×Dic1143 |
| unambiguous semidirect product | C9⋊(C7×Dic127) |
| derived, Hall | C9×C127 ⋊ C4×C7 |
| Hall | C7×C9×C127 ⋊ C4 |
| Hall | C7×C127 ⋊ Dic9 |
| Sylow | C127 ⋊ C7×Dic9 |
| Hall | C7×C9 ⋊ Dic127 |
| Sylow | C9 ⋊ C7×Dic127 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 32004 |
8022 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32004, 12);