Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 123 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. C4⋊Q8×D19 | C2 | semidirect |
| 3. #11926915 | C2 | semidirect |
| 4. #11926893 | C2 | semidirect |
| 5. #11926750 | C2 | semidirect |
| 6. #11926749 | C2 | semidirect |
| 7. #11926746 | C2 | semidirect |
| 8. #11926684 | C2 | semidirect |
| 9. #11926681 | C2 | semidirect |
| 10. #11926596 | C2 | semidirect |
| 11. C19×#461 | C2 | semidirect |
| 114. C4×D19 | SD16 | semidirect |
| 150. #461 | D19 | semidirect |
| 191. C19 | #3206 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927091 | 2 |
| C4⋊Q8×D19 | 2 |
| #11926915 | 2 |
| #11926893 | 2 |
| #11926750 | 2 |
| #11926749 | 2 |
| #11926746 | 2 |
| #11926684 | 2 |
| #11926681 | 2 |
| #11926596 | 2 |
| C19×#461 | 2 |
| #3206 | 19 |