Finite Group DatabasebetaFinite Group Databasebeta| order | 1936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C121 ⋊ Q16 |
27 conjugacy classes of subgroups.
| minimal degree | μ(G) = 137 |
| transitive degree | μt(G) = 1936 |
Polycyclic presentation:
2^4,11^2|a^2=d,b^2=d,c^2=d,e^11=f,b^a=bc,c^a=cd,e^a=e^10f^10,f^a=f^10,c^b=cd307 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1936, 16);