Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
596 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 137 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×#10597357 | C2 | semidirect |
| 2. C2×#10597358 | C2 | semidirect |
| 3. C2×D8×D19 | C2 | semidirect |
| 4. #11927107 | C2 | semidirect |
| 5. #11926932 | C2 | semidirect |
| 6. #11926931 | C2 | semidirect |
| 7. #11926928 | C2 | semidirect |
| 8. #11926927 | C2 | semidirect |
| 9. #11926919 | C2 | semidirect |
| 10. #11926498 | C2 | semidirect |
| 11. C19×#493 | C2 | semidirect |
| 15. C2×D8×C19 | C22 | semidirect |
| 16. C2×D8×C19 | C22 | semidirect |
| 17. C19×#127 | C22 | semidirect |
| 18. #10597386 | C22 | semidirect |
| 21. #10597382 | C22 | semidirect |
| 22. C2×#64526 | C22 | semidirect |
| 23. C2×#64526 | C22 | semidirect |
| 25. C2×#64525 | C22 | semidirect |
| 29. C2×Dic76 | C22 | semidirect |
| 31. C2×#64516 | C22 | semidirect |
| 34. #10597321 | C22 | semidirect |
| 36. C4×C8×C19 | C22 | semidirect |
| 37. #10597272 | C22 | semidirect |
| 38. C8×Dic19 | C22 | semidirect |
| 39. #10597260 | C22 | semidirect |
| 75. #64515 | D4 | semidirect |
| 76. C8×D19 | D4 | semidirect |
| 133. #493 | D19 | semidirect |
| 154. C2×D8 | C2×D19 | semidirect |
| 155. C2×D8 | C2×D19 | semidirect |
| 159. #127 | C2×D19 | semidirect |
| 168. C4×C8 | C2×D19 | semidirect |
| 169. C19 | #3155 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597357 | 2 |
| C2×#10597358 | 2 |
| C2×D8×D19 | 2 |
| #11927107 | 2 |
| #11926932 | 2 |
| #11926931 | 2 |
| #11926928 | 2 |
| #11926927 | 2 |
| #11926919 | 2 |
| #11926498 | 2 |
| C19×#493 | 2 |
| #3155 | 19 |