Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#10597354 | C2 | semidirect |
| 2. C2×#10597396 | C2 | semidirect |
| 3. #11927108 | C2 | semidirect |
| 4. #11927025 | C2 | semidirect |
| 5. #11926769 | C2 | semidirect |
| 6. #11926762 | C2 | semidirect |
| 7. #11926743 | C2 | semidirect |
| 8. #11926738 | C2 | semidirect |
| 9. #11926572 | C2 | semidirect |
| 10. C2×#10597266 | C2 | semidirect |
| 11. C19×#417 | C2 | semidirect |
| 19. C2×#64528 | C22 | semidirect |
| 20. C2×#64527 | C22 | semidirect |
| 23. C2×#64526 | C22 | semidirect |
| 24. C2×#64525 | C22 | semidirect |
| 33. #10597339 | C22 | semidirect |
| 36. #10597333 | C22 | semidirect |
| 37. C19×#103 | C22 | semidirect |
| 38. C19×#102 | C22 | semidirect |
| 39. Dic19⋊C8 | C22 | semidirect |
| 40. Dic19⋊C8 | C22 | semidirect |
| 56. #64541 | D4 | semidirect |
| 157. #417 | D19 | semidirect |
| 193. #103 | C2×D19 | semidirect |
| 196. #102 | C2×D19 | semidirect |
| 197. C19 | #3045 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597354 | 2 |
| C2×#10597396 | 2 |
| #11927108 | 2 |
| #11927025 | 2 |
| #11926769 | 2 |
| #11926762 | 2 |
| #11926743 | 2 |
| #11926738 | 2 |
| #11926572 | 2 |
| C2×#10597266 | 2 |
| C19×#417 | 2 |
| #3045 | 19 |