Finite Group DatabasebetaFinite Group Databasebeta| order | 1560 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C5 · Schur multiplier (H2) = C2 |
| direct product | C5×D4×C13⋊C3 |
| unambiguous semidirect product | C4⋊(C2×C5×C13⋊C3) |
| unambiguous semidirect product | (D4×C13)⋊(C3×C5) |
| unambiguous semidirect product | (C5×D4×C13)⋊C3 |
| Fitting, Hall | C5×D4×C13 ⋊ C3 |
| Hall | D4×C13 ⋊ C3×C5 |
| Hall | C5×C13 ⋊ C3×D4 |
| Sylow | C13 ⋊ C3×C5×D4 |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 260 |
175 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1560, 104);