Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C17 ⋊ #2151 |
160 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^7,17|a^2=e,b^2=d,e^2=f,f^2=g,b^a=bd,h^a=h^16,c^b=cg,h^b=h^16376 conjugacy classes — view the full character table.
| maximal subgroup of | #16921728, #16950460, #16950463, … |
| maximal normal subgroup of | #16921728, #16950460, #16950463, … |
| maximal quotient of | #16945873, #16945899, #16945933, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6270);