Finite Group DatabasebetaFinite Group Databasebeta| order | 35972 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C529 · Schur multiplier (H2) = C2 |
| direct product | C2×D17×C529 |
| unambiguous semidirect product | C17⋊(C22×C529) |
| unambiguous semidirect product | (C2×C17)⋊(C2×C529) |
| Fitting | C2×C17×C529 ⋊ C2 |
| derived, Sylow | C17 ⋊ C22×C529 |
| Hall | C17×C529 ⋊ C22 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17986 |
10580 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35972, 10);