Finite Group DatabasebetaFinite Group Databasebeta| order | 31460 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C11 · Schur multiplier (H2) = C1 |
| direct product | C5×C11×Dic143 |
| derived | C11×C13 ⋊ C4×C5×C11 |
| Hall | C5×C112×C13 ⋊ C4 |
| Hall | C112×C13 ⋊ C4×C5 |
| Hall | C5×C112 ⋊ Dic13 |
| Sylow | C112 ⋊ C5×Dic13 |
| Hall | C5×C13 ⋊ C11×Dic11 |
| Sylow | C13 ⋊ C5×C11×Dic11 |
88 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2860 |
8030 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31460, 86);