Finite Group DatabasebetaFinite Group Databasebeta| order | 1632 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | (C2×D3)⋊#3622 |
| Hall | C3×C17 ⋊ C22⋊C8 |
| Sylow | C17 ⋊ (C2×D3)⋊C8 |
| Sylow | C3 ⋊ C22⋊#3622 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 816 |
Polycyclic presentation:
2^5,3,17|a^2=d,d^2=e,b^a=bc,g^a=g^16,f^b=f^2228 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1632, 32);