Finite Group DatabasebetaFinite Group Databasebeta| order | 1936 |
| isoclinism | isoclinic class of Dic22 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C11 · Schur multiplier (H2) = C22 |
| direct product | C11×C22⋊Dic11 |
| unambiguous semidirect product | C22⋊(C11×Dic11) |
| Sylow | C112 ⋊ C22⋊C4 |
148 conjugacy classes of subgroups.
| transitive degree | μt(G) = 88 |
550 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1936, 78);