Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
418 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11927055 | C2 | semidirect |
| 2. #11926886 | C2 | semidirect |
| 3. #11926869 | C2 | semidirect |
| 4. #11926802 | C2 | semidirect |
| 5. #11926797 | C2 | semidirect |
| 6. #11926790 | C2 | semidirect |
| 7. #11926708 | C2 | semidirect |
| 8. #11926691 | C2 | semidirect |
| 9. C19×#407 | C2 | semidirect |
| 23. C2×Dic76 | C22 | semidirect |
| 24. C2×D152 | C22 | semidirect |
| 25. C2×#64516 | C22 | semidirect |
| 28. #10597278 | C22 | semidirect |
| 29. #10597278 | C22 | semidirect |
| 30. #10597275 | C22 | semidirect |
| 31. #10597274 | C22 | semidirect |
| 32. #10597274 | C22 | semidirect |
| 33. #10597273 | C22 | semidirect |
| 34. #10597273 | C22 | semidirect |
| 122. #407 | D19 | semidirect |
| 153. C19 | #3197 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927055 | 2 |
| #11926886 | 2 |
| #11926869 | 2 |
| #11926802 | 2 |
| #11926797 | 2 |
| #11926790 | 2 |
| #11926708 | 2 |
| #11926691 | 2 |
| C19×#407 | 2 |
| #3197 | 19 |