Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
494 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 494 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. #11927197 | C2 | semidirect |
| 2. D4×D76 | C2 | semidirect |
| 3. #11926892 | C2 | semidirect |
| 4. #11926859 | C2 | semidirect |
| 5. #11926781 | C2 | semidirect |
| 6. #11926740 | C2 | semidirect |
| 7. #11926679 | C2 | semidirect |
| 8. C4×#64525 | C2 | semidirect |
| 9. #11926609 | C2 | semidirect |
| 10. #102×D19 | C2 | semidirect |
| 11. C19×#474 | C2 | semidirect |
| 15. C19×C4⋊Q8 | C22 | semidirect |
| 20. C2×D152 | C22 | semidirect |
| 21. C2×C8×D19 | C22 | semidirect |
| 23. #10597341 | C22 | semidirect |
| 25. C4⋊C4×D19 | C22 | semidirect |
| 29. C4×D76 | C22 | semidirect |
| 30. C19×#107 | C22 | semidirect |
| 31. C19×C4⋊C8 | C22 | semidirect |
| 34. #10597278 | C22 | semidirect |
| 35. (C2×D19)⋊C8 | C22 | semidirect |
| 36. #10597266 | C22 | semidirect |
| 37. #10597266 | C22 | semidirect |
| 38. #10597266 | C22 | semidirect |
| 39. #10597264 | C22 | semidirect |
| 40. C4×C19⋊C8 | C22 | semidirect |
| 87. D4×C19 | #41 | semidirect |
| 105. D76 | D8 | semidirect |
| 140. #474 | D19 | semidirect |
| 160. C4⋊Q8 | C2×D19 | semidirect |
| 173. #107 | C2×D19 | semidirect |
| 174. C4⋊C8 | C2×D19 | semidirect |
| 183. C19 | #3294 | semidirect |
| 240. D4 | #64545 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927197 | 2 |
| D4×D76 | 2 |
| #11926892 | 2 |
| #11926859 | 2 |
| #11926781 | 2 |
| #11926740 | 2 |
| #11926679 | 2 |
| C4×#64525 | 2 |
| #11926609 | 2 |
| #102×D19 | 2 |
| C19×#474 | 2 |
| #3294 | 19 |