Finite Group DatabasebetaFinite Group Databasebeta| order | 31164 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C49×C53 · Schur multiplier (H2) = C2 |
| direct product | A4×C49×C53 |
| unambiguous semidirect product | C22⋊(C3×C49×C53) |
| unambiguous semidirect product | (C22×C53)⋊(C3×C49) |
| Fitting, Hall | C22×C49×C53 ⋊ C3 |
| derived, Sylow | C22 ⋊ C3×C49×C53 |
| Hall | C22×C53 ⋊ C3×C49 |
| Hall | C22×C49 ⋊ C3×C53 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10388 |
10388 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31164, 32);