Finite Group DatabasebetaFinite Group Databasebeta| order | 1560 |
| isoclinism | isoclinic class of D3×D5 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C13 · Schur multiplier (H2) = C2 |
| direct product | D5×Dic3×C13 |
| derived, Hall | C3×C5 ⋊ C2×C4×C13 |
| Hall | C3×C5×C13 ⋊ C2×C4 |
| Hall | C5×C13 ⋊ C2×Dic3 |
| Hall | C3×C13 ⋊ C4×D5 |
| Sylow | C5 ⋊ C2×Dic3×C13 |
| Sylow | C3 ⋊ C4×D5×C13 |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 780 |
312 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1560, 76);