Finite Group DatabasebetaFinite Group Databasebeta| order | 25284 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C49 · Schur multiplier (H2) = C2 |
| direct product | C49×C22⋊(C43⋊C3) |
| unambiguous semidirect product | C22⋊(C49×C43⋊C3) |
| Fitting, Hall | C22×C43×C49 ⋊ C3 |
| derived, Hall | C22×C43 ⋊ C3×C49 |
| Hall | C43×C49 ⋊ A4 |
| Hall | C22×C49 ⋊ C43⋊C3 |
| Sylow | C43 ⋊ A4×C49 |
| Sylow | C22 ⋊ C49×C43⋊C3 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8428 |
2940 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25284, 69);