Finite Group DatabasebetaFinite Group Databasebeta| order | 28420 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C49 · Schur multiplier (H2) = C2 |
| direct product | C2×D5×C29⋊C49 |
| unambiguous semidirect product | C5⋊(C22×C29⋊C49) |
| unambiguous semidirect product | (C2×C5)⋊(C2×C29⋊C49) |
| unambiguous semidirect product | (C2×D5×C29)⋊C49 |
| derived, Hall | C5×C29 ⋊ C22×C49 |
| Hall | C5×C29⋊C49 ⋊ C22 |
| Hall | C2×D5×C29 ⋊ C49 |
| Sylow | C29 ⋊ C2×D5×C49 |
| Sylow | C5 ⋊ C22×C29⋊C49 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14210 |
616 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(28420, 23);