Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
484 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 125 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. #11927099 | C2 | semidirect |
| 3. #11926907 | C2 | semidirect |
| 4. #11926892 | C2 | semidirect |
| 5. #11926891 | C2 | semidirect |
| 6. #11926890 | C2 | semidirect |
| 7. #11926547 | C2 | semidirect |
| 8. C4×#64515 | C2 | semidirect |
| 9. C19×#486 | C2 | semidirect |
| 13. C19×C4⋊Q8 | C22 | semidirect |
| 23. #10597336 | 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. #10597272 | C22 | semidirect |
| 33. #10597266 | C22 | semidirect |
| 34. C4×C19⋊C8 | C22 | semidirect |
| 124. #486 | D19 | semidirect |
| 138. C4⋊Q8 | C2×D19 | semidirect |
| 154. #102 | C2×D19 | semidirect |
| 157. C4×C8 | C2×D19 | semidirect |
| 158. C19 | #3138 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| #127×D19 | 2 |
| #11926907 | 2 |
| #11926892 | 2 |
| #11926891 | 2 |
| #11926890 | 2 |
| #11926547 | 2 |
| C4×#64515 | 2 |
| C19×#486 | 2 |
| #3138 | 19 |