Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
420 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 109 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. #11927150 | C2 | semidirect |
| 2. #11927112 | C2 | semidirect |
| 3. #11926934 | C2 | semidirect |
| 4. #11926921 | C2 | semidirect |
| 5. #11926910 | C2 | semidirect |
| 6. #11926762 | C2 | semidirect |
| 7. #11926738 | C2 | semidirect |
| 8. #11926692 | C2 | semidirect |
| 9. #11926679 | C2 | semidirect |
| 10. #11926603 | C2 | semidirect |
| 11. C19×#488 | C2 | semidirect |
| 14. C19×#125 | C22 | semidirect |
| 17. C2×#64527 | C22 | semidirect |
| 21. C2×D152 | C22 | semidirect |
| 25. #10597339 | C22 | semidirect |
| 29. #10597320 | C22 | semidirect |
| 31. C19×#103 | C22 | semidirect |
| 33. C4×C8×C19 | C22 | semidirect |
| 35. Dic19⋊C8 | C22 | semidirect |
| 37. #10597266 | C22 | semidirect |
| 38. #10597260 | C22 | semidirect |
| 127. #488 | D19 | semidirect |
| 149. #125 | C2×D19 | semidirect |
| 160. #103 | C2×D19 | semidirect |
| 166. C4×C8 | C2×D19 | semidirect |
| 167. C19 | #3220 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927150 | 2 |
| #11927112 | 2 |
| #11926934 | 2 |
| #11926921 | 2 |
| #11926910 | 2 |
| #11926762 | 2 |
| #11926738 | 2 |
| #11926692 | 2 |
| #11926679 | 2 |
| #11926603 | 2 |
| C19×#488 | 2 |
| #3220 | 19 |