Finite Group DatabasebetaFinite Group Databasebeta| order | 1560 |
| isoclinism | isoclinic class of D13 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4×C5 · Schur multiplier (H2) = C2 |
| direct product | C3×C4×C5×D13 |
| Fitting | C3×C4×C5×C13 ⋊ C2 |
| derived, Sylow | C13 ⋊ C2×C3×C4×C5 |
| Hall | C3×C5×C13 ⋊ C2×C4 |
| Hall | C5×C13 ⋊ C2×C3×C4 |
| Hall | C3×C13 ⋊ C2×C4×C5 |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 780 |
480 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1560, 109);