| order | 1632 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C8 · Schur multiplier (H2) = C22 |
| direct product | C3×C22⋊#3622 |
| Hall | C3×C17 ⋊ C22⋊C8 |
| Sylow | C17 ⋊ C3×C22⋊C8 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 816 |
444 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1632, 108);