Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
452 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 177 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. #11926623 | C2 | semidirect |
| 3. #11926621 | C2 | semidirect |
| 4. #11926597 | C2 | semidirect |
| 5. #11926506 | C2 | semidirect |
| 6. C19×#431 | C2 | semidirect |
| 12. C2×#64515 | C22 | semidirect |
| 17. C19×C4⋊C8 | C22 | semidirect |
| 19. C4×C8×C19 | C22 | semidirect |
| 21. (C2×D19)⋊C8 | C22 | semidirect |
| 22. C4⋊(C19⋊C8) | C22 | semidirect |
| 23. C4×C19⋊C8 | C22 | semidirect |
| 53. C2×C4×C19 | M16 | semidirect |
| 88. #431 | D19 | semidirect |
| 106. C4⋊C8 | C2×D19 | semidirect |
| 111. C4×C8 | C2×D19 | semidirect |
| 112. C19 | #2975 | semidirect |
| 148. C2×C4 | #64515 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D76 | 2 |
| #11926623 | 2 |
| #11926621 | 2 |
| #11926597 | 2 |
| #11926506 | 2 |
| C19×#431 | 2 |
| #2975 | 19 |