Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
492 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 125 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. #11927089 | C2 | semidirect |
| 2. C2×#10597339 | C2 | semidirect |
| 3. #11926857 | C2 | semidirect |
| 4. #11926823 | C2 | semidirect |
| 5. #11926738 | C2 | semidirect |
| 6. #11926680 | C2 | semidirect |
| 7. #11926677 | C2 | semidirect |
| 8. #11926626 | C2 | semidirect |
| 9. #11926624 | C2 | semidirect |
| 10. #11926594 | C2 | semidirect |
| 11. C19×#480 | C2 | semidirect |
| 17. #10597386 | C22 | semidirect |
| 19. D4×Dic19 | C22 | semidirect |
| 29. #10597339 | C22 | semidirect |
| 30. #10597334 | C22 | semidirect |
| 33. C19×#107 | C22 | semidirect |
| 34. C19×#102 | C22 | semidirect |
| 38. Dic19⋊C8 | C22 | semidirect |
| 39. C8×Dic19 | C22 | semidirect |
| 41. #10597266 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 104. C2×Dic19 | D8 | semidirect |
| 112. D76 | #41 | semidirect |
| 146. #480 | D19 | semidirect |
| 183. #107 | C2×D19 | semidirect |
| 188. #102 | C2×D19 | semidirect |
| 192. C19 | #3100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927089 | 2 |
| C2×#10597339 | 2 |
| #11926857 | 2 |
| #11926823 | 2 |
| #11926738 | 2 |
| #11926680 | 2 |
| #11926677 | 2 |
| #11926626 | 2 |
| #11926624 | 2 |
| #11926594 | 2 |
| C19×#480 | 2 |
| #3100 | 19 |