Finite Group DatabasebetaFinite Group Databasebeta| order | 14022 |
| isoclinism | isoclinic class of D19 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C9×C41 · Schur multiplier (H2) = C1 |
| direct product | C9×D19×C41 |
| Fitting, Hall | C9×C19×C41 ⋊ C2 |
| derived, Sylow | C19 ⋊ C2×C9×C41 |
| Hall | C19×C41 ⋊ C2×C9 |
| Hall | C9×C19 ⋊ C2×C41 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7011 |
4059 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C9×D19×D41, D9×D19×C41, D19×D369, … |
| maximal normal subgroup of | C9×D19×D41, D9×D19×C41, D19×D369, … |
| maximal quotient of | C9×C41×Dic19, C2×C9×D19×C41 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14022, 4);