Finite Group DatabasebetaFinite Group Databasebeta| order | 31460 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C13 · Schur multiplier (H2) = C11 |
| direct product | C13×C11⋊Dic55 |
| unambiguous semidirect product | C11⋊(C13×Dic55) |
| derived, Hall | C5×C112 ⋊ C4×C13 |
| Hall | C5×C112×C13 ⋊ C4 |
| Hall | C112×C13 ⋊ Dic5 |
| Sylow | C112 ⋊ C13×Dic5 |
| Hall | C5×C13 ⋊ C11⋊Dic11 |
| Sylow | C5 ⋊ C13×C11⋊Dic11 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 31460 |
7904 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31460, 79);