Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
350 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 71 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11927342 | C2 | semidirect |
| 2. #11926512 | C2 | semidirect |
| 3. #11926511 | C2 | semidirect |
| 4. C19⋊#338 | C2 | semidirect |
| 5. C19×#575 | C2 | semidirect |
| 89. #575 | D19 | semidirect |
| 113. C19 | #2017 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927342 | 2 |
| #11926512 | 2 |
| #11926511 | 2 |
| C19⋊#338 | 2 |
| C19×#575 | 2 |
| #2017 | 19 |