Finite Group DatabasebetaFinite Group Databasebeta| order | 31460 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C11×C13 · Schur multiplier (H2) = C1 |
| direct product | C11×C13×C11⋊AGL(1,𝔽5) |
| unambiguous semidirect product | C11⋊(C11×C13×AGL(1,𝔽5)) |
| Fitting, socle, Hall | C5×C112×C13 ⋊ C4 |
| derived | C5×C11 ⋊ C4×C11×C13 |
| Hall | C112×C13 ⋊ AGL(1,𝔽5) |
| Hall | C5×C112 ⋊ C4×C13 |
| Sylow | C112 ⋊ C13×AGL(1,𝔽5) |
| Hall | C5×C13 ⋊ C11×Dic11 |
| Sylow | C5 ⋊ C11×C13×Dic11 |
88 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1430 |
3575 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31460, 188);