Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 141 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×#10597395 | C2 | semidirect |
| 2. C22×#64525 | C2 | semidirect |
| 3. #11927018 | C2 | semidirect |
| 4. #11926756 | C2 | semidirect |
| 5. #11926736 | C2 | semidirect |
| 6. #11926571 | C2 | semidirect |
| 7. #11926549 | C2 | semidirect |
| 8. #11926540 | C2 | semidirect |
| 9. C19×#535 | C2 | semidirect |
| 13. C19×#127 | C22 | semidirect |
| 14. C19×#124 | C22 | semidirect |
| 19. C2×#64527 | C22 | semidirect |
| 22. C2×#64525 | C22 | semidirect |
| 28. C4×D76 | C22 | semidirect |
| 29. #10597292 | C22 | semidirect |
| 30. #10597289 | C22 | semidirect |
| 31. #10597289 | C22 | semidirect |
| 32. C4⋊(C19⋊C8) | C22 | semidirect |
| 49. C2×D76 | D4 | semidirect |
| 118. #535 | D19 | semidirect |
| 141. #127 | C2×D19 | semidirect |
| 142. #124 | C2×D19 | semidirect |
| 154. C19 | #3041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597395 | 2 |
| C22×#64525 | 2 |
| #11927018 | 2 |
| #11926756 | 2 |
| #11926736 | 2 |
| #11926571 | 2 |
| #11926549 | 2 |
| #11926540 | 2 |
| C19×#535 | 2 |
| #3041 | 19 |