Finite Group DatabasebetaFinite Group Databasebeta| order | 28420 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5 · Schur multiplier (H2) = C1 |
| direct product | C5×C49⋊#1181 |
| unambiguous semidirect product | C49⋊(C5×#1181) |
| Fitting, Hall | C5×C29×C49 ⋊ C4 |
| derived, Hall | C29×C49 ⋊ C4×C5 |
| Hall | C5×C49 ⋊ #1181 |
| Hall | C5×C29 ⋊ Dic49 |
| Sylow | C49 ⋊ C5×#1181 |
| Sylow | C29 ⋊ C5×Dic49 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7105 |
1975 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28420, 26);