Finite Group DatabasebetaFinite Group Databasebeta| order | 25284 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C49 · Schur multiplier (H2) = C2 |
| direct product | C2×C3×D43⋊C49 |
| unambiguous semidirect product | (C2×C3×D43)⋊C49 |
| derived, Sylow | C43 ⋊ C22×C3×C49 |
| Hall | C3×C43⋊C49 ⋊ C22 |
| Hall | C43⋊C49 ⋊ C22×C3 |
| Hall | C2×C3×D43 ⋊ C49 |
| Hall | C2×D43 ⋊ C3×C49 |
| Hall | C3×C43 ⋊ C22×C49 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12642 |
714 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25284, 37);