Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
440 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 135 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. #11927097 | C2 | semidirect |
| 3. #11926847 | C2 | semidirect |
| 4. #11926843 | C2 | semidirect |
| 5. #11926833 | C2 | semidirect |
| 6. #11926823 | C2 | semidirect |
| 7. #11926584 | C2 | semidirect |
| 8. #11926567 | C2 | semidirect |
| 11. C19×#428 | C2 | semidirect |
| 25. #10597336 | C22 | semidirect |
| 26. #10597336 | C22 | semidirect |
| 27. #10597334 | C22 | semidirect |
| 28. #10597334 | C22 | semidirect |
| 33. C19×#107 | C22 | semidirect |
| 34. C19×#106 | C22 | semidirect |
| 37. Dic19⋊C8 | C22 | semidirect |
| 38. Dic19⋊C8 | C22 | semidirect |
| 41. #10597265 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 50. C2×D76 | Q8 | semidirect |
| 141. #428 | D19 | semidirect |
| 172. #107 | C2×D19 | semidirect |
| 174. #106 | C2×D19 | semidirect |
| 181. C19 | #3077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927097 | 2 |
| C2×#10597339 | 2 |
| #11926847 | 2 |
| #11926843 | 2 |
| #11926833 | 2 |
| #11926823 | 2 |
| #11926584 | 2 |
| #11926567 | 2 |
| #11926550 | 2 |
| #11926548 | 2 |
| C19×#428 | 2 |
| #3077 | 19 |