Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
444 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 444 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. #11927096 | C2 | semidirect |
| 3. #11926880 | C2 | semidirect |
| 4. #11926877 | C2 | semidirect |
| 5. #11926822 | C2 | semidirect |
| 6. #11926747 | C2 | semidirect |
| 8. #11926645 | C2 | semidirect |
| 9. #11926641 | C2 | semidirect |
| 10. #11926598 | C2 | semidirect |
| 17. Q8×Dic19 | C22 | semidirect |
| 18. #10597390 | C22 | semidirect |
| 28. #10597334 | C22 | semidirect |
| 30. #10597333 | C22 | semidirect |
| 35. #10597292 | C22 | semidirect |
| 38. #10597275 | C22 | semidirect |
| 39. #10597273 | C22 | semidirect |
| 40. #10597272 | C22 | semidirect |
| 41. Dic19⋊C8 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 179. C19 | #3110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927096 | 2 |
| C2×D4×Dic19 | 2 |
| #11926880 | 2 |
| #11926877 | 2 |
| #11926822 | 2 |
| #11926747 | 2 |
| #11926695 | 2 |
| #11926645 | 2 |
| #11926641 | 2 |
| #11926598 | 2 |
| C19×#450 | 2 |
| #3110 | 19 |