Finite Group DatabasebetaFinite Group Databasebeta| order | 29150 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C25×C53 · Schur multiplier (H2) = C1 |
| direct product | C53×D11⋊C25 |
| unambiguous semidirect product | D11⋊(C25×C53) |
| unambiguous semidirect product | (C11⋊C25)⋊(C2×C53) |
| unambiguous semidirect product | (D11×C53)⋊C25 |
| derived, Sylow | C11 ⋊ C2×C25×C53 |
| Hall | C53×C11⋊C25 ⋊ C2 |
| Hall | D11×C53 ⋊ C25 |
| Hall | C11×C53 ⋊ C2×C25 |
| Hall | C11⋊C25 ⋊ C2×C53 |
| Hall | D11 ⋊ C25×C53 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14575 |
2915 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29150, 11);