Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
448 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 127 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. #11927099 | C2 | semidirect |
| 3. #11926873 | C2 | semidirect |
| 4. #11926835 | C2 | semidirect |
| 5. #11926834 | C2 | semidirect |
| 6. #11926746 | C2 | semidirect |
| 8. SD16×Dic19 | C2 | semidirect |
| 9. #11926629 | C2 | semidirect |
| 10. #11926596 | C2 | semidirect |
| 11. C19×#461 | C2 | semidirect |
| 15. C19×C4⋊Q8 | C22 | semidirect |
| 18. Q8×Dic19 | C22 | semidirect |
| 32. #10597315 | C22 | semidirect |
| 33. C19×C4⋊C8 | C22 | semidirect |
| 34. C19×#103 | C22 | semidirect |
| 35. #10597292 | C22 | semidirect |
| 39. #10597274 | C22 | semidirect |
| 40. C8×Dic19 | C22 | semidirect |
| 41. #10597265 | C22 | semidirect |
| 42. C4⋊(C19⋊C8) | C22 | semidirect |
| 114. C4×D19 | SD16 | semidirect |
| 147. #461 | D19 | semidirect |
| 163. C4⋊Q8 | C2×D19 | semidirect |
| 182. C4⋊C8 | C2×D19 | semidirect |
| 184. #103 | C2×D19 | semidirect |
| 189. C19 | #3101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| C4×D4×D19 | 2 |
| #11926873 | 2 |
| #11926835 | 2 |
| #11926834 | 2 |
| #11926746 | 2 |
| #11926693 | 2 |
| SD16×Dic19 | 2 |
| #11926629 | 2 |
| #11926596 | 2 |
| C19×#461 | 2 |
| #3101 | 19 |