Finite Group DatabasebetaFinite Group Databasebeta| order | 28116 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9×C71 · Schur multiplier (H2) = C2 |
| direct product | C2×C9×D11×C71 |
| unambiguous semidirect product | C11⋊(C22×C9×C71) |
| unambiguous semidirect product | (C2×C11)⋊(C2×C9×C71) |
| Fitting | C2×C9×C11×C71 ⋊ C2 |
| derived, Sylow | C11 ⋊ C22×C9×C71 |
| Hall | C9×C11×C71 ⋊ C22 |
| Hall | C11×C71 ⋊ C22×C9 |
| Hall | C9×C11 ⋊ C22×C71 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14058 |
8946 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28116, 23);