Finite Group DatabasebetaFinite Group Databasebeta| order | 1936 |
| isoclinism | isoclinic class of Dic22 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C11 · Schur multiplier (H2) = C2 |
| direct product | C11×Dic11⋊C4 |
| unambiguous semidirect product | Dic11⋊(C4×C11) |
| Sylow | C112 ⋊ C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 176 |
550 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1936, 71);