Finite Group DatabasebetaFinite Group Databasebeta| order | 13860 |
| isoclinism | isoclinic class of D7 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C9×C11 · Schur multiplier (H2) = C1 |
| direct product | C5×C9×C11×Dic7 |
| derived, Sylow | C7 ⋊ C4×C5×C9×C11 |
| Hall | C5×C7×C9×C11 ⋊ C4 |
| Hall | C7×C9×C11 ⋊ C4×C5 |
| Hall | C5×C7×C11 ⋊ C4×C9 |
| Hall | C5×C7×C9 ⋊ C4×C11 |
| Hall | C7×C11 ⋊ C4×C5×C9 |
| Hall | C7×C9 ⋊ C4×C5×C11 |
| Hall | C5×C7 ⋊ C4×C9×C11 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13860 |
4950 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13860, 6);