Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
444 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 444 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. #11927096 | C2 | semidirect |
| 3. #11926879 | C2 | semidirect |
| 4. #11926823 | C2 | semidirect |
| 5. #11926748 | C2 | semidirect |
| 8. #11926647 | C2 | semidirect |
| 9. #11926643 | C2 | semidirect |
| 10. #11926598 | C2 | semidirect |
| 11. C19×#484 | C2 | semidirect |
| 16. Q8×Dic19 | C22 | semidirect |
| 17. #10597390 | C22 | semidirect |
| 28. #10597334 | C22 | semidirect |
| 30. #10597333 | C22 | semidirect |
| 33. C19×#107 | C22 | semidirect |
| 34. C19×#103 | C22 | semidirect |
| 38. #10597272 | C22 | semidirect |
| 39. Dic19⋊C8 | C22 | semidirect |
| 40. #10597267 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 135. #484 | D19 | semidirect |
| 170. #107 | C2×D19 | semidirect |
| 173. #103 | C2×D19 | semidirect |
| 179. C19 | #3110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927096 | 2 |
| C2×#10597339 | 2 |
| #11926879 | 2 |
| #11926823 | 2 |
| #11926748 | 2 |
| #11926697 | 2 |
| #11926694 | 2 |
| #11926647 | 2 |
| #11926643 | 2 |
| #11926598 | 2 |
| C19×#484 | 2 |
| #3110 | 19 |