Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
360 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 360 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 |
|---|---|---|
| 1. #11927361 | C2 | semidirect |
| 2. #11927349 | C2 | semidirect |
| 3. #11926987 | C2 | semidirect |
| 4. #11926982 | C2 | semidirect |
| 5. #11926976 | C2 | semidirect |
| 6. C2×#10597257 | C2 | semidirect |
| 7. C19×#504 | C2 | semidirect |
| 13. C2×Dic76 | C22 | semidirect |
| 15. #10597350 | C22 | semidirect |
| 17. C19×M32 | C22 | semidirect |
| 18. C2×C16×C19 | C22 | semidirect |
| 19. Dic152 | C22 | semidirect |
| 20. #10597257 | C22 | semidirect |
| 21. #10597257 | C22 | semidirect |
| 22. #10597257 | C22 | semidirect |
| 23. D304 | C22 | semidirect |
| 77. #504 | D19 | semidirect |
| 96. M32 | C2×D19 | semidirect |
| 97. C2×C16 | C2×D19 | semidirect |
| 98. C19 | #3416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927361 | 2 |
| #11927349 | 2 |
| #11926987 | 2 |
| #11926982 | 2 |
| #11926976 | 2 |
| C2×#10597257 | 2 |
| C19×#504 | 2 |
| #3416 | 19 |