| order | 1584 |
| isoclinism | isoclinic class of Dic22 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C9 · Schur multiplier (H2) = C22 |
| direct product | C2×C9×Dic22 |
| unambiguous semidirect product | (C2×C11)⋊(Q8×C9) |
| Hall | C9×C11 ⋊ C2×Q8 |
| Sylow | C11 ⋊ C2×Q8×C9 |
114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1584 |
450 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1584, 132);