Finite Group DatabasebetaFinite Group Databasebeta| order | 1632 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Hall | C3×C17 ⋊ #101 |
| Sylow | C17 ⋊ #824 |
| Sylow | C3 ⋊ #10587495 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 816 |
Polycyclic presentation:
2^5,3,17|a^2=d,b^2=cde,d^2=e,b^a=bc,c^a=ce,g^a=g^16,c^b=ce,d^b=de,f^b=f^2165 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1632, 39);