Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 133 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. #11927172 | C2 | semidirect |
| 3. #11926909 | C2 | semidirect |
| 4. #11926904 | C2 | semidirect |
| 5. #11926899 | C2 | semidirect |
| 6. #11926891 | C2 | semidirect |
| 7. #11926550 | C2 | semidirect |
| 8. #11926546 | C2 | semidirect |
| 9. #11926541 | C2 | semidirect |
| 10. C2×#10597278 | C2 | semidirect |
| 11. C19×#405 | C2 | semidirect |
| 27. #10597316 | C22 | semidirect |
| 28. #10597315 | C22 | semidirect |
| 29. C19×#97 | C22 | semidirect |
| 30. C4×C8×C19 | C22 | semidirect |
| 35. #10597278 | C22 | semidirect |
| 36. #10597278 | C22 | semidirect |
| 37. #10597278 | C22 | semidirect |
| 38. #10597273 | C22 | semidirect |
| 39. #10597273 | C22 | semidirect |
| 40. #10597273 | C22 | semidirect |
| 140. #405 | D19 | semidirect |
| 174. #97 | C2×D19 | semidirect |
| 175. C4×C8 | C2×D19 | semidirect |
| 176. C19 | #3136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927172 | 2 |
| #11927113 | 2 |
| #11926909 | 2 |
| #11926904 | 2 |
| #11926899 | 2 |
| #11926891 | 2 |
| #11926550 | 2 |
| #11926546 | 2 |
| #11926541 | 2 |
| C2×#10597278 | 2 |
| C19×#405 | 2 |
| #3136 | 19 |