Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
370 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 370 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. #11927349 | C2 | semidirect |
| 2. #11926982 | C2 | semidirect |
| 3. #11926976 | C2 | semidirect |
| 4. C2×D304 | C2 | semidirect |
| 5. C19×#504 | C2 | semidirect |
| 9. #10597350 | C22 | semidirect |
| 10. C2×D152 | C22 | semidirect |
| 11. C19×M32 | C22 | semidirect |
| 12. C2×C16×C19 | C22 | semidirect |
| 13. Dic152 | C22 | semidirect |
| 14. #10597257 | C22 | semidirect |
| 15. D304 | C22 | semidirect |
| 16. D304 | C22 | semidirect |
| 52. #504 | D19 | semidirect |
| 65. M32 | C2×D19 | semidirect |
| 66. C2×C16 | C2×D19 | semidirect |
| 67. C19 | #3415 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927349 | 2 |
| #11926982 | 2 |
| #11926976 | 2 |
| C2×D304 | 2 |
| C19×#504 | 2 |
| #3415 | 19 |