Finite Group DatabasebetaFinite Group Databasebeta| order | 25284 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C49 · Schur multiplier (H2) = C1 |
| direct product | C49×(C43⋊C3)⋊C4 |
| derived, Sylow | C43 ⋊ C3×C4×C49 |
| Hall | C49×Dic43 ⋊ C3 |
| Hall | C49×C43⋊C3 ⋊ C4 |
| Hall | C43×C49 ⋊ C3×C4 |
| Hall | Dic43 ⋊ C3×C49 |
| Hall | C43⋊C3 ⋊ C4×C49 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8428 |
1274 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25284, 8);