Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
490 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 113 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. #127×D19 | C2 | semidirect |
| 2. #11927079 | C2 | semidirect |
| 3. #11926933 | C2 | semidirect |
| 4. #11926931 | C2 | semidirect |
| 5. #11926910 | C2 | semidirect |
| 6. #11926743 | C2 | semidirect |
| 7. #11926738 | C2 | semidirect |
| 8. #11926696 | C2 | semidirect |
| 9. #11926679 | C2 | semidirect |
| 10. #11926599 | C2 | semidirect |
| 11. C19×#490 | C2 | semidirect |
| 16. C19×#125 | C22 | semidirect |
| 20. C2×#64526 | C22 | semidirect |
| 21. C2×#64525 | C22 | semidirect |
| 22. C2×D152 | C22 | semidirect |
| 23. C2×#64516 | C22 | semidirect |
| 29. #10597339 | C22 | semidirect |
| 31. #10597333 | C22 | semidirect |
| 32. #10597321 | C22 | semidirect |
| 35. C19×#102 | C22 | semidirect |
| 36. C19×#102 | C22 | semidirect |
| 37. C19×#97 | C22 | semidirect |
| 39. Dic19⋊C8 | C22 | semidirect |
| 40. #10597266 | C22 | semidirect |
| 41. #10597266 | C22 | semidirect |
| 42. #10597260 | C22 | semidirect |
| 151. #490 | D19 | semidirect |
| 177. #125 | C2×D19 | semidirect |
| 190. #102 | C2×D19 | semidirect |
| 191. #102 | C2×D19 | semidirect |
| 194. #97 | C2×D19 | semidirect |
| 195. C19 | #3217 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #127×D19 | 2 |
| #11927079 | 2 |
| #11926933 | 2 |
| #11926931 | 2 |
| #11926910 | 2 |
| #11926743 | 2 |
| #11926738 | 2 |
| #11926696 | 2 |
| #11926679 | 2 |
| #11926599 | 2 |
| C19×#490 | 2 |
| #3217 | 19 |