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. C22×#64525 | C2 | semidirect |
| 2. #11927108 | C2 | semidirect |
| 3. #11927019 | C2 | semidirect |
| 4. #11926761 | C2 | semidirect |
| 5. #11926737 | C2 | semidirect |
| 6. #11926572 | C2 | semidirect |
| 7. #11926550 | C2 | semidirect |
| 8. #11926540 | C2 | semidirect |
| 9. C2×C19×AGL(1,ℤ/8) | C2 | semidirect |
| 14. C2×SD16×C19 | C22 | semidirect |
| 15. C2×D8×C19 | C22 | semidirect |
| 18. #10597393 | C22 | semidirect |
| 19. #10597386 | C22 | semidirect |
| 22. D4×Dic19 | C22 | semidirect |
| 29. #10597292 | C22 | semidirect |
| 30. #10597289 | C22 | semidirect |
| 31. #10597278 | C22 | semidirect |
| 32. Dic19⋊C8 | C22 | semidirect |
| 41. C2×D4×C19 | D4 | semidirect |
| 116. C2×AGL(1,ℤ/8) | D19 | semidirect |
| 135. C2×SD16 | C2×D19 | semidirect |
| 138. C2×D8 | C2×D19 | semidirect |
| 154. C19 | #3041 | semidirect |
| 168. C2×D4 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64525 | 2 |
| #11927108 | 2 |
| #11927019 | 2 |
| #11926761 | 2 |
| #11926737 | 2 |
| #11926572 | 2 |
| #11926550 | 2 |
| #11926540 | 2 |
| C2×C19×AGL(1,ℤ/8) | 2 |
| #3041 | 19 |