Finite Group DatabasebetaFinite Group Databasebeta| order | 16020 |
| isoclinism | isoclinic class of D89 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C9 · Schur multiplier (H2) = C1 |
| direct product | C5×C9×Dic89 |
| derived, Sylow | C89 ⋊ C4×C5×C9 |
| Hall | C5×C9×C89 ⋊ C4 |
| Hall | C9×C89 ⋊ C4×C5 |
| Hall | C5×C89 ⋊ C4×C9 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16020 |
4140 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16020, 2);