Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
458 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 129 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. C2×C4⋊C4×D19 | C2 | semidirect |
| 3. #11926881 | C2 | semidirect |
| 4. #11926876 | C2 | semidirect |
| 5. #11926864 | C2 | semidirect |
| 6. #11926859 | C2 | semidirect |
| 7. #11926587 | C2 | semidirect |
| 8. #11926546 | C2 | semidirect |
| 9. #11926543 | C2 | semidirect |
| 10. #11926507 | C2 | semidirect |
| 11. C19×#428 | C2 | semidirect |
| 33. C19×#107 | C22 | semidirect |
| 34. C19×#106 | C22 | semidirect |
| 35. #10597278 | C22 | semidirect |
| 38. #10597273 | C22 | semidirect |
| 39. #10597267 | C22 | semidirect |
| 40. #10597266 | C22 | semidirect |
| 41. #10597265 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 156. #428 | D19 | semidirect |
| 189. #107 | C2×D19 | semidirect |
| 191. #106 | C2×D19 | semidirect |
| 198. C19 | #3092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927056 | 2 |
| C2×C4⋊C4×D19 | 2 |
| #11926881 | 2 |
| #11926876 | 2 |
| #11926864 | 2 |
| #11926859 | 2 |
| #11926587 | 2 |
| #11926546 | 2 |
| #11926543 | 2 |
| #11926507 | 2 |
| C19×#428 | 2 |
| #3092 | 19 |