Finite Group DatabasebetaFinite Group Databasebeta| order | 1560 |
| isoclinism | isoclinic class of C5⋊(D13⋊C3) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2 |
| direct product | C4×C5⋊(D13⋊C3) |
| unambiguous semidirect product | (C4×D65)⋊C3 |
| Fitting | C4×C5×C13 ⋊ C2×C3 |
| derived, Hall | C5×C13 ⋊ C2×C3×C4 |
| Hall | C4×D65 ⋊ C3 |
| Hall | C5×C13⋊C3 ⋊ C2×C4 |
| Hall | C13⋊C3 ⋊ C4×D5 |
| Sylow | C13 ⋊ C3×C4×D5 |
| Sylow | C5 ⋊ C4×D13⋊C3 |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 260 |
88 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1560, 38);