Finite Group DatabasebetaFinite Group Databasebeta| order | 13794 |
| isoclinism | isoclinic class of D19 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C121 · Schur multiplier (H2) = C1 |
| direct product | C3×D19×C121 |
| Fitting, Hall | C3×C19×C121 ⋊ C2 |
| derived, Sylow | C19 ⋊ C2×C3×C121 |
| Hall | C19×C121 ⋊ C2×C3 |
| Hall | C3×C19 ⋊ C2×C121 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6897 |
3993 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×D19×D121, D3×D19×C121, D19×D363, … |
| maximal normal subgroup of | C3×D19×D121, D3×D19×C121, D19×D363, … |
| maximal quotient of | C3×Dic19×C121, C2×C3×D19×C121 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13794, 6);