Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
420 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 420 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. #11927149 | C2 | semidirect |
| 2. #11927113 | C2 | semidirect |
| 3. #11926933 | C2 | semidirect |
| 4. #11926921 | C2 | semidirect |
| 5. #11926909 | C2 | semidirect |
| 6. #11926899 | C2 | semidirect |
| 7. #11926760 | C2 | semidirect |
| 8. #11926740 | C2 | semidirect |
| 9. #11926691 | C2 | semidirect |
| 10. #11926680 | C2 | semidirect |
| 11. C19×#433 | C2 | semidirect |
| 18. C2×D152 | C22 | semidirect |
| 19. C2×#64516 | C22 | semidirect |
| 28. #10597320 | C22 | semidirect |
| 29. C4×D76 | C22 | semidirect |
| 30. #10597316 | C22 | semidirect |
| 31. C19×C4⋊C8 | C22 | semidirect |
| 33. C19×#97 | C22 | semidirect |
| 34. C4×C8×C19 | C22 | semidirect |
| 37. #10597278 | C22 | semidirect |
| 38. #10597273 | C22 | semidirect |
| 132. #433 | D19 | semidirect |
| 159. C4⋊C8 | C2×D19 | semidirect |
| 165. #97 | 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 |
|---|---|
| #11927149 | 2 |
| #11927113 | 2 |
| #11926933 | 2 |
| #11926921 | 2 |
| #11926909 | 2 |
| #11926899 | 2 |
| #11926760 | 2 |
| #11926740 | 2 |
| #11926691 | 2 |
| #11926680 | 2 |
| C19×#433 | 2 |
| #3220 | 19 |