Finite Group DatabasebetaFinite Group Databasebeta| order | 28820 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5 · Schur multiplier (H2) = C1 |
| direct product | C4×#20297885 |
| Fitting, Hall | C4×C11×C131 ⋊ C5 |
| derived, Hall | C11×C131 ⋊ C4×C5 |
| Hall | C4×C131 ⋊ C11⋊C5 |
| Sylow | C131 ⋊ C4×C11⋊C5 |
| Hall | C4×C11 ⋊ C131⋊C5 |
| Sylow | C11 ⋊ C4×C131⋊C5 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5764 |
1172 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28820, 7);