Finite Group DatabasebetaFinite Group Databasebeta| order | 1632 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C3×C17 ⋊ Q32 |
| Sylow | C17 ⋊ #829 |
| Sylow | C3 ⋊ Dic136 |
48 conjugacy classes of subgroups.
| minimal degree | μ(G) = 52 |
| transitive degree | μt(G) = 1632 |
Polycyclic presentation:
2^5,3,17|a^2=e,b^2=cd,c^2=de,d^2=e,b^a=bc,c^a=cd,d^a=de,g^a=g^16,f^b=f^2210 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1632, 23);