Finite Group DatabasebetaFinite Group Databasebeta| order | 25284 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C4×#20263467 |
| Fitting, Hall | C4×C43×C49 ⋊ C3 |
| derived, Hall | C43×C49 ⋊ C3×C4 |
| Hall | C4×C49 ⋊ C43⋊C3 |
| Hall | C4×C43 ⋊ C49⋊C3 |
| Sylow | C49 ⋊ C4×C43⋊C3 |
| Sylow | C43 ⋊ C4×C49⋊C3 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8428 |
2820 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25284, 23);