Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
450 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11926874 | C2 | semidirect |
| 4. #11926847 | C2 | semidirect |
| 5. #11926758 | C2 | semidirect |
| 6. #11926697 | C2 | semidirect |
| 8. #11926653 | C2 | semidirect |
| 9. #11926643 | C2 | semidirect |
| 10. #11926598 | C2 | semidirect |
| 11. C19×#480 | C2 | semidirect |
| 16. #10597382 | C22 | semidirect |
| 19. D4×Dic19 | C22 | semidirect |
| 29. #10597336 | C22 | semidirect |
| 30. #10597333 | C22 | semidirect |
| 33. C19×#107 | C22 | semidirect |
| 34. C19×#102 | C22 | semidirect |
| 38. #10597272 | C22 | semidirect |
| 39. Dic19⋊C8 | C22 | semidirect |
| 40. #10597267 | C22 | semidirect |
| 42. #10597265 | C22 | semidirect |
| 138. #480 | D19 | semidirect |
| 173. #107 | C2×D19 | semidirect |
| 179. #102 | C2×D19 | semidirect |
| 183. C19 | #3114 | 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 |
| #11926874 | 2 |
| #11926847 | 2 |
| #11926758 | 2 |
| #11926697 | 2 |
| #11926677 | 2 |
| #11926653 | 2 |
| #11926643 | 2 |
| #11926598 | 2 |
| C19×#480 | 2 |
| #3114 | 19 |