Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
392 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 173 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. #11926606 | C2 | semidirect |
| 3. #11926603 | C2 | semidirect |
| 4. #11926567 | C2 | semidirect |
| 6. C4×#64520 | C2 | semidirect |
| 7. C4×M16×C19 | C2 | semidirect |
| 18. C19×#97 | C22 | semidirect |
| 19. C4×C8×C19 | C22 | semidirect |
| 21. Dic19⋊C8 | C22 | semidirect |
| 22. #10597260 | C22 | semidirect |
| 23. C4×C19⋊C8 | C22 | semidirect |
| 82. C4×M16 | D19 | semidirect |
| 100. #97 | C2×D19 | semidirect |
| 102. C4×C8 | C2×D19 | semidirect |
| 103. C19 | #2921 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597318 | 2 |
| #11926606 | 2 |
| #11926603 | 2 |
| #11926567 | 2 |
| #11926507 | 2 |
| C4×#64520 | 2 |
| C4×M16×C19 | 2 |
| #2921 | 19 |