Finite Group DatabasebetaFinite Group Databasebeta| order | 1936 |
| isoclinism | isoclinic class of #4323 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C11 · Schur multiplier (H2) = C2 |
| direct product | C11×#4323 |
| Fitting | D4×C112 ⋊ C2 |
| Sylow | C112 ⋊ D8 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 88 |
352 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72222560, C11×#66985, #72222601, … |
| maximal normal subgroup of | #72222560, C11×#66985, #72222601, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1936, 74);