Finite Group DatabasebetaFinite Group Databasebeta| order | 25020 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5×C9 · Schur multiplier (H2) = C2 |
| direct product | C22×C5×C139⋊C9 |
| derived, Sylow | C139 ⋊ C22×C5×C9 |
| Hall | C22×C5×C139 ⋊ C9 |
| Hall | C5×C139 ⋊ C22×C9 |
| Hall | C22×C139 ⋊ C5×C9 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 25020 |
2940 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25020, 33);