Finite Group DatabasebetaFinite Group Databasebeta| order | 29524 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C121 · Schur multiplier (H2) = C2 |
| direct product | C2×C121×D61 |
| unambiguous semidirect product | C61⋊(C22×C121) |
| unambiguous semidirect product | (C2×C61)⋊(C2×C121) |
| Fitting | C2×C61×C121 ⋊ C2 |
| derived, Sylow | C61 ⋊ C22×C121 |
| Hall | C61×C121 ⋊ C22 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14762 |
7744 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29524, 11);