Finite Group DatabasebetaFinite Group Databasebeta| order | 1936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C11 |
No aliases for this group.
| Sylow | C112 ⋊ Q16 |
126 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1936 |
Polycyclic presentation:
2^4,11^2|a^2=d,b^2=cd,c^2=d,b^a=bc,c^a=cd,e^a=e^10,f^a=f^10487 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1936, 83);