Finite Group DatabasebetaFinite Group Databasebeta| order | 1560 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C1 |
| direct product | C3×Dic130 |
| Hall | C3×C5×C13 ⋊ Q8 |
| Hall | C5×C13 ⋊ C3×Q8 |
| Hall | C3×C13 ⋊ Dic10 |
| Hall | C3×C5 ⋊ Dic26 |
| Sylow | C13 ⋊ C3×Dic10 |
| Sylow | C5 ⋊ C3×Dic26 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1560 |
399 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1560, 118);