Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
392 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 173 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. #11926602 | C2 | semidirect |
| 3. #11926567 | C2 | semidirect |
| 5. M16×Dic19 | C2 | semidirect |
| 18. #10597272 | C22 | semidirect |
| 19. Dic19⋊C8 | C22 | semidirect |
| 20. C8×Dic19 | C22 | semidirect |
| 92. C19 | #2921 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597372 | 2 |
| #11926602 | 2 |
| #11926567 | 2 |
| #11926508 | 2 |
| M16×Dic19 | 2 |
| C19×#407 | 2 |
| #2921 | 19 |