Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
454 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 123 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. #11927080 | C2 | semidirect |
| 2. C2×D4×Dic19 | C2 | semidirect |
| 3. #11926877 | C2 | semidirect |
| 4. #11926863 | C2 | semidirect |
| 5. #11926846 | C2 | semidirect |
| 6. #11926761 | C2 | semidirect |
| 8. SD16×Dic19 | C2 | semidirect |
| 9. #11926624 | C2 | semidirect |
| 10. #11926594 | C2 | semidirect |
| 11. C19×#450 | C2 | semidirect |
| 17. #10597393 | C22 | semidirect |
| 18. Q8×Dic19 | C22 | semidirect |
| 28. #10597339 | C22 | semidirect |
| 30. #10597336 | C22 | semidirect |
| 35. #10597292 | C22 | semidirect |
| 38. #10597278 | C22 | semidirect |
| 39. #10597274 | C22 | semidirect |
| 40. Dic19⋊C8 | C22 | semidirect |
| 41. C8×Dic19 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 141. #450 | D19 | semidirect |
| 183. C19 | #3105 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927080 | 2 |
| C2×D4×Dic19 | 2 |
| #11926877 | 2 |
| #11926863 | 2 |
| #11926846 | 2 |
| #11926761 | 2 |
| #11926678 | 2 |
| SD16×Dic19 | 2 |
| #11926624 | 2 |
| #11926594 | 2 |
| C19×#450 | 2 |
| #3105 | 19 |