Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
484 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 121 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. #11927100 | C2 | semidirect |
| 3. #11926910 | C2 | semidirect |
| 4. #11926909 | C2 | semidirect |
| 5. #11926908 | C2 | semidirect |
| 6. #11926889 | C2 | semidirect |
| 7. #11926547 | C2 | semidirect |
| 8. #11926496 | C2 | semidirect |
| 9. C19×#490 | C2 | semidirect |
| 13. C19×#125 | C22 | semidirect |
| 19. #10597334 | C22 | semidirect |
| 23. #10597316 | C22 | semidirect |
| 24. C19×#102 | C22 | semidirect |
| 25. C19×#97 | C22 | semidirect |
| 26. #10597289 | C22 | semidirect |
| 27. #10597278 | C22 | semidirect |
| 28. C8×Dic19 | C22 | semidirect |
| 29. #10597266 | C22 | semidirect |
| 30. #10597260 | C22 | semidirect |
| 98. #490 | D19 | semidirect |
| 116. #125 | C2×D19 | semidirect |
| 124. #102 | C2×D19 | semidirect |
| 126. #97 | C2×D19 | semidirect |
| 128. C19 | #3138 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927100 | 2 |
| #127×D19 | 2 |
| #11926910 | 2 |
| #11926909 | 2 |
| #11926908 | 2 |
| #11926889 | 2 |
| #11926547 | 2 |
| #11926496 | 2 |
| C19×#490 | 2 |
| #3138 | 19 |