Finite Group DatabasebetaFinite Group Databasebeta| order | 25020 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C1 |
| direct product | C9×C139⋊AGL(1,𝔽5) |
| Fitting, Hall | C5×C9×C139 ⋊ C4 |
| derived, Hall | C5×C139 ⋊ C4×C9 |
| Hall | C9×C139 ⋊ AGL(1,𝔽5) |
| Sylow | C139 ⋊ C9×AGL(1,𝔽5) |
| Hall | C5×C9 ⋊ Dic139 |
| Sylow | C5 ⋊ C9×Dic139 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6255 |
2529 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25020, 21);