Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#10597397 | C2 | semidirect |
| 2. C2×#10597395 | C2 | semidirect |
| 3. C22×#64516 | C2 | semidirect |
| 4. #11927115 | C2 | semidirect |
| 5. #11927108 | C2 | semidirect |
| 6. #11926937 | C2 | semidirect |
| 7. #11926932 | C2 | semidirect |
| 8. #11926925 | C2 | semidirect |
| 9. #11926915 | C2 | semidirect |
| 10. #11926499 | C2 | semidirect |
| 11. C2×C19×#135 | C2 | semidirect |
| 17. C2×Q16×C19 | C22 | semidirect |
| 18. C2×SD16×C19 | C22 | semidirect |
| 19. C2×SD16×C19 | C22 | semidirect |
| 20. C2×D8×C19 | C22 | semidirect |
| 25. #10597390 | C22 | semidirect |
| 26. C2×#64528 | C22 | semidirect |
| 30. #10597382 | C22 | semidirect |
| 32. C2×#64526 | C22 | semidirect |
| 41. #10597272 | C22 | semidirect |
| 42. C8×Dic19 | C22 | semidirect |
| 71. C2×C8×C19 | D4 | semidirect |
| 84. #64520 | D4 | semidirect |
| 145. C2×#135 | D19 | semidirect |
| 168. C2×Q16 | C2×D19 | semidirect |
| 174. C2×SD16 | C2×D19 | semidirect |
| 175. C2×SD16 | C2×D19 | semidirect |
| 177. C2×D8 | C2×D19 | semidirect |
| 191. C19 | #3154 | semidirect |
| 228. C2×C8 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597397 | 2 |
| C2×#10597395 | 2 |
| C22×#64516 | 2 |
| #11927115 | 2 |
| #11927108 | 2 |
| #11926937 | 2 |
| #11926932 | 2 |
| #11926925 | 2 |
| #11926915 | 2 |
| #11926499 | 2 |
| C2×C19×#135 | 2 |
| #3154 | 19 |