Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 2. C22×C4⋊Dic19 | C2 | semidirect |
| 3. #11926880 | C2 | semidirect |
| 4. #11926875 | C2 | semidirect |
| 5. #11926863 | C2 | semidirect |
| 6. #11926858 | C2 | semidirect |
| 7. #11926586 | C2 | semidirect |
| 8. #11926546 | C2 | semidirect |
| 9. C19×#407 | C2 | semidirect |
| 31. #10597278 | C22 | semidirect |
| 32. #10597275 | C22 | semidirect |
| 33. #10597274 | C22 | semidirect |
| 34. #10597273 | C22 | semidirect |
| 132. #407 | D19 | semidirect |
| 165. C19 | #3092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927055 | 2 |
| C22×C4⋊Dic19 | 2 |
| #11926880 | 2 |
| #11926875 | 2 |
| #11926863 | 2 |
| #11926858 | 2 |
| #11926586 | 2 |
| #11926546 | 2 |
| C19×#407 | 2 |
| #3092 | 19 |