Finite Group DatabasebetaFinite Group Databasebeta| order | 31772 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C169 · Schur multiplier (H2) = C2 |
| direct product | C2×D47×C169 |
| unambiguous semidirect product | C47⋊(C22×C169) |
| unambiguous semidirect product | (C2×C47)⋊(C2×C169) |
| Fitting | C2×C47×C169 ⋊ C2 |
| derived, Sylow | C47 ⋊ C22×C169 |
| Hall | C47×C169 ⋊ C22 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15886 |
8450 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31772, 11);