Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
410 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 3. #11926875 | C2 | semidirect |
| 4. #11926873 | C2 | semidirect |
| 5. #11926872 | C2 | semidirect |
| 6. #11926801 | C2 | semidirect |
| 7. #11926799 | C2 | semidirect |
| 8. #11926700 | C2 | semidirect |
| 9. #11926698 | C2 | semidirect |
| 11. C19×#451 | C2 | semidirect |
| 15. C2×Q16×C19 | C22 | semidirect |
| 22. C2×#64528 | C22 | semidirect |
| 34. C19×#103 | C22 | semidirect |
| 36. #10597292 | C22 | semidirect |
| 37. #10597292 | C22 | semidirect |
| 40. #10597274 | C22 | semidirect |
| 41. #10597273 | C22 | semidirect |
| 42. #10597265 | C22 | semidirect |
| 149. #451 | D19 | semidirect |
| 161. C2×Q16 | C2×D19 | semidirect |
| 184. #103 | C2×D19 | semidirect |
| 188. C19 | #3195 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597392 | 2 |
| C22⋊Q8×D19 | 2 |
| #11926875 | 2 |
| #11926873 | 2 |
| #11926872 | 2 |
| #11926801 | 2 |
| #11926799 | 2 |
| #11926700 | 2 |
| #11926698 | 2 |
| #11926506 | 2 |
| C19×#451 | 2 |
| #3195 | 19 |