Finite Group DatabasebetaFinite Group Databasebeta| order | 21204 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×#4294⋊D31 |
| unambiguous semidirect product | (C2×#4294)⋊D31 |
| derived, Hall | C19×C31 ⋊ C22×C9 |
| Hall | C31×#4294 ⋊ C22 |
| Hall | C2×D589 ⋊ C9 |
| Hall | #4294 ⋊ C2×D31 |
| Sylow | C31 ⋊ C2×#4294⋊C2 |
| Sylow | C19 ⋊ C2×C9×D31 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10602 |
864 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21204, 36);