Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
758 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 758 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. C22×#64541 | C2 | semidirect |
| 2. C2×#10597397 | C2 | semidirect |
| 3. C2×#10597395 | C2 | semidirect |
| 4. #11926704 | C2 | semidirect |
| 5. #11926687 | C2 | semidirect |
| 6. #11926552 | C2 | semidirect |
| 7. #11926548 | C2 | semidirect |
| 8. #11926508 | C2 | semidirect |
| 9. C19×#525 | C2 | semidirect |
| 21. C19×C22⋊Q8 | C22 | semidirect |
| 22. C19×#121 | C22 | semidirect |
| 28. C2×#64528 | C22 | semidirect |
| 29. C2×#64527 | C22 | semidirect |
| 30. C2×#64526 | C22 | semidirect |
| 31. C2×#64525 | C22 | semidirect |
| 34. C22⋊(C19⋊C8) | C22 | semidirect |
| 35. #10597267 | C22 | semidirect |
| 36. #10597266 | C22 | semidirect |
| 60. C2×D76 | D4 | semidirect |
| 66. C2×Dic38 | D4 | semidirect |
| 143. #525 | D19 | semidirect |
| 174. C22⋊Q8 | C2×D19 | semidirect |
| 175. #121 | C2×D19 | semidirect |
| 182. C19 | #3005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64541 | 2 |
| C2×#10597397 | 2 |
| C2×#10597395 | 2 |
| #11926704 | 2 |
| #11926687 | 2 |
| #11926552 | 2 |
| #11926548 | 2 |
| #11926508 | 2 |
| C19×#525 | 2 |
| #3005 | 19 |