Finite Group DatabasebetaFinite Group Databasebeta| order | 1936 |
| isoclinism | isoclinic class of Dic22 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C11 · Schur multiplier (H2) = C1 |
| direct product | C11×#4318 |
| Sylow | C112 ⋊ M16 |
80 conjugacy classes of subgroups.
| transitive degree | μt(G) = 88 |
550 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72222554, #72222579, C11×#66985, … |
| maximal normal subgroup of | #72222554, #72222579, C11×#66985, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1936, 69);