Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 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×#10597396 | C2 | semidirect |
| 2. C22×#64515 | C2 | semidirect |
| 3. #11927056 | C2 | semidirect |
| 4. #11927051 | C2 | semidirect |
| 5. #11926801 | C2 | semidirect |
| 6. #11926796 | C2 | semidirect |
| 7. #11926793 | C2 | semidirect |
| 8. #11926789 | C2 | semidirect |
| 9. #11926580 | C2 | semidirect |
| 10. #11926541 | C2 | semidirect |
| 11. C19×#416 | C2 | semidirect |
| 19. C2×#64528 | C22 | semidirect |
| 20. C2×#64527 | C22 | semidirect |
| 24. C2×#64526 | C22 | semidirect |
| 25. C2×#64525 | C22 | semidirect |
| 37. C19×#103 | C22 | semidirect |
| 38. C19×#102 | C22 | semidirect |
| 39. #10597278 | C22 | semidirect |
| 40. #10597273 | C22 | semidirect |
| 41. #10597265 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 82. C2×C19⋊C8 | D4 | semidirect |
| 153. #416 | D19 | semidirect |
| 188. #103 | C2×D19 | semidirect |
| 190. #102 | C2×D19 | semidirect |
| 191. C19 | #3054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597396 | 2 |
| C22×#64515 | 2 |
| #11927056 | 2 |
| #11927051 | 2 |
| #11926801 | 2 |
| #11926796 | 2 |
| #11926793 | 2 |
| #11926789 | 2 |
| #11926580 | 2 |
| #11926541 | 2 |
| C19×#416 | 2 |
| #3054 | 19 |