Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
400 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 177 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 |
|---|---|---|
| 2. #11926604 | C2 | semidirect |
| 3. #11926596 | C2 | semidirect |
| 4. #11926571 | C2 | semidirect |
| 7. M16×Dic19 | C2 | semidirect |
| 8. C2×C8×Dic19 | C2 | semidirect |
| 9. C19×#424 | C2 | semidirect |
| 94. #424 | D19 | semidirect |
| 123. C19 | #2922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927012 | 2 |
| #11926604 | 2 |
| #11926596 | 2 |
| #11926571 | 2 |
| #11926512 | 2 |
| #11926510 | 2 |
| M16×Dic19 | 2 |
| C2×C8×Dic19 | 2 |
| C19×#424 | 2 |
| #2922 | 19 |