Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
526 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 125 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×#10597365 | C2 | semidirect |
| 2. C22×D152 | C2 | semidirect |
| 3. #11927185 | C2 | semidirect |
| 4. #11926929 | C2 | semidirect |
| 5. #11926781 | C2 | semidirect |
| 6. #11926762 | C2 | semidirect |
| 7. #11926694 | C2 | semidirect |
| 8. #11926692 | C2 | semidirect |
| 9. #11926626 | C2 | semidirect |
| 10. C8×C22⋊D19 | C2 | semidirect |
| 11. C19×#467 | C2 | semidirect |
| 12. C2×#64545 | C22 | semidirect |
| 14. C2×Q16×C19 | C22 | semidirect |
| 17. #10597393 | C22 | semidirect |
| 18. C2×#64527 | C22 | semidirect |
| 19. C2×#64527 | C22 | semidirect |
| 26. C2×C8×D19 | C22 | semidirect |
| 28. #10597341 | C22 | semidirect |
| 30. #10597339 | C22 | semidirect |
| 33. C19×#107 | C22 | semidirect |
| 34. C19×#103 | C22 | semidirect |
| 36. (C2×D19)⋊C8 | C22 | semidirect |
| 37. Dic19⋊C8 | C22 | semidirect |
| 38. C8×Dic19 | C22 | semidirect |
| 39. #10597266 | C22 | semidirect |
| 40. #10597266 | C22 | semidirect |
| 78. D152 | D4 | semidirect |
| 117. C22×C19 | #135 | semidirect |
| 141. #467 | D19 | semidirect |
| 158. C2×Q16 | C2×D19 | semidirect |
| 176. #107 | C2×D19 | semidirect |
| 178. #103 | C2×D19 | semidirect |
| 184. C19 | #3280 | semidirect |
| 270. C22 | #10597365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597365 | 2 |
| C22×D152 | 2 |
| #11927185 | 2 |
| #11926929 | 2 |
| #11926781 | 2 |
| #11926762 | 2 |
| #11926694 | 2 |
| #11926692 | 2 |
| #11926626 | 2 |
| C8×C22⋊D19 | 2 |
| C19×#467 | 2 |
| #3280 | 19 |