Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
528 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 145 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. C4⋊Q8×D19 | C2 | semidirect |
| 3. #11926892 | C2 | semidirect |
| 4. #11926891 | C2 | semidirect |
| 5. #11926890 | C2 | semidirect |
| 6. #11926889 | C2 | semidirect |
| 7. #102×D19 | C2 | semidirect |
| 8. C4×C8×D19 | C2 | semidirect |
| 9. C19×#486 | C2 | semidirect |
| 14. C19×C4⋊Q8 | C22 | semidirect |
| 24. #10597334 | C22 | semidirect |
| 27. #10597315 | C22 | semidirect |
| 28. C19×#102 | C22 | semidirect |
| 29. C4×C8×C19 | C22 | semidirect |
| 30. #10597289 | C22 | semidirect |
| 31. #10597278 | C22 | semidirect |
| 32. C8×Dic19 | C22 | semidirect |
| 33. #10597266 | C22 | semidirect |
| 34. C4×C19⋊C8 | C22 | semidirect |
| 127. #486 | D19 | direct (N × H) |
| 135. D19 | #486 | direct (N × H) |
| 145. C4⋊Q8 | C2×D19 | semidirect |
| 157. #102 | C2×D19 | semidirect |
| 160. C4×C8 | C2×D19 | semidirect |
| 161. C19 | C2×#486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊Q8×D19 | 2 |
| #127×D19 | 2 |
| #11926892 | 2 |
| #11926891 | 2 |
| #11926890 | 2 |
| #11926889 | 2 |
| #102×D19 | 2 |
| C4×C8×D19 | 2 |
| C19×#486 | 2 |
| C2×#486 | 19 |