Finite Group DatabasebetaFinite Group Databasebeta| order | 21204 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9×C31 · Schur multiplier (H2) = C2 |
| direct product | C22×C31×#4294 |
| derived, Sylow | C19 ⋊ C22×C9×C31 |
| Hall | C22×C19×C31 ⋊ C9 |
| Hall | C19×C31 ⋊ C22×C9 |
| Hall | C22×C19 ⋊ C9×C31 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 21204 |
3348 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21204, 56);