Finite Group DatabasebetaFinite Group Databasebeta| order | 31460 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C13 · Schur multiplier (H2) = C1 |
| direct product | C13×#14559054 |
| derived, Sylow | C112 ⋊ C4×C5×C13 |
| Hall | C13×#10597243 ⋊ C4 |
| Hall | C11×C13×Dic11 ⋊ C5 |
| Hall | C112×C13 ⋊ C4×C5 |
| Hall | #10597243 ⋊ C4×C13 |
| Hall | C11×Dic11 ⋊ C5×C13 |
88 conjugacy classes of subgroups.
| transitive degree | μt(G) = 572 |
650 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31460, 57);