Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
492 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 129 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×D4×Dic19 | C2 | semidirect |
| 3. #11926858 | C2 | semidirect |
| 4. #11926855 | C2 | semidirect |
| 5. #11926822 | C2 | semidirect |
| 6. #11926737 | C2 | semidirect |
| 7. #11926678 | C2 | semidirect |
| 8. D8×Dic19 | C2 | semidirect |
| 9. #11926624 | C2 | semidirect |
| 10. #11926594 | C2 | semidirect |
| 11. C19×#447 | C2 | semidirect |
| 18. #10597386 | C22 | semidirect |
| 24. D4×Dic19 | C22 | semidirect |
| 29. #10597339 | C22 | semidirect |
| 30. #10597334 | C22 | semidirect |
| 36. #10597289 | C22 | semidirect |
| 38. #10597278 | C22 | semidirect |
| 39. #10597275 | C22 | semidirect |
| 40. Dic19⋊C8 | C22 | semidirect |
| 41. C8×Dic19 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 94. D4×C19 | #41 | semidirect |
| 109. C2×Dic19 | D8 | semidirect |
| 150. #447 | D19 | semidirect |
| 192. C19 | #3100 | semidirect |
| 249. D4 | #64543 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927089 | 2 |
| C2×D4×Dic19 | 2 |
| #11926858 | 2 |
| #11926855 | 2 |
| #11926822 | 2 |
| #11926737 | 2 |
| #11926678 | 2 |
| D8×Dic19 | 2 |
| #11926624 | 2 |
| #11926594 | 2 |
| C19×#447 | 2 |
| #3100 | 19 |