Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
400 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11926906 | C2 | semidirect |
| 4. #11926904 | C2 | semidirect |
| 5. #11926903 | C2 | semidirect |
| 6. #11926900 | C2 | semidirect |
| 7. #11926897 | C2 | semidirect |
| 8. #11926551 | C2 | semidirect |
| 10. #11926496 | C2 | semidirect |
| 11. C19×#489 | C2 | semidirect |
| 14. C19×C4⋊Q8 | C22 | semidirect |
| 23. #10597336 | C22 | semidirect |
| 31. #10597315 | C22 | semidirect |
| 32. C19×#103 | C22 | semidirect |
| 34. C19×#97 | C22 | semidirect |
| 35. #10597292 | C22 | semidirect |
| 38. #10597273 | C22 | semidirect |
| 39. C8×Dic19 | C22 | semidirect |
| 40. #10597267 | C22 | semidirect |
| 42. #10597260 | C22 | semidirect |
| 138. #489 | D19 | semidirect |
| 154. C4⋊Q8 | C2×D19 | semidirect |
| 173. #103 | C2×D19 | semidirect |
| 179. #97 | C2×D19 | semidirect |
| 181. C19 | #3140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| #124×D19 | 2 |
| #11926906 | 2 |
| #11926904 | 2 |
| #11926903 | 2 |
| #11926900 | 2 |
| #11926897 | 2 |
| #11926551 | 2 |
| #11926547 | 2 |
| #11926496 | 2 |
| C19×#489 | 2 |
| #3140 | 19 |