Finite Group DatabasebetaFinite Group Databasebeta| order | 1936 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C11 |
| unambiguous semidirect product | C4⋊(C11⋊Dic11) |
| Sylow | C112 ⋊ C4⋊C4 |
182 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1936 |
Polycyclic presentation:
2^4,11^2|a^2=d,b^2=c,b^a=bc,e^a=e^10,f^a=f^10490 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1936, 88);