Finite Group DatabasebetaFinite Group Databasebeta| order | 1936 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊Dic121 |
| Sylow | C121 ⋊ C22⋊C4 |
51 conjugacy classes of subgroups.
| transitive degree | μt(G) = 968 |
Polycyclic presentation:
2^4,11^2|a^2=d,e^11=f,b^a=bc,e^a=e^10f^10,f^a=f^10490 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1936, 18);