Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
454 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 119 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. #11927075 | C2 | semidirect |
| 2. C2×#10597339 | C2 | semidirect |
| 3. #11926879 | C2 | semidirect |
| 4. #11926843 | C2 | semidirect |
| 5. #11926758 | C2 | semidirect |
| 6. #11926697 | C2 | semidirect |
| 8. #11926631 | C2 | semidirect |
| 9. #11926624 | C2 | semidirect |
| 10. #11926594 | C2 | semidirect |
| 11. C19×#481 | C2 | semidirect |
| 16. #10597382 | C22 | semidirect |
| 19. D4×Dic19 | C22 | semidirect |
| 29. #10597336 | C22 | semidirect |
| 30. #10597333 | C22 | semidirect |
| 33. C19×#106 | C22 | semidirect |
| 34. C19×#102 | C22 | semidirect |
| 38. Dic19⋊C8 | C22 | semidirect |
| 39. C8×Dic19 | C22 | semidirect |
| 40. #10597267 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 138. #481 | D19 | semidirect |
| 174. #106 | C2×D19 | semidirect |
| 179. #102 | C2×D19 | semidirect |
| 183. C19 | #3105 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927075 | 2 |
| C2×#10597339 | 2 |
| #11926879 | 2 |
| #11926843 | 2 |
| #11926758 | 2 |
| #11926697 | 2 |
| #11926677 | 2 |
| #11926631 | 2 |
| #11926624 | 2 |
| #11926594 | 2 |
| C19×#481 | 2 |
| #3105 | 19 |