Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
488 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 488 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. #11926918 | C2 | semidirect |
| 4. #11926891 | C2 | semidirect |
| 5. #11926890 | C2 | semidirect |
| 6. #11926742 | C2 | semidirect |
| 7. #11926693 | C2 | semidirect |
| 8. #11926595 | C2 | semidirect |
| 9. C19×#492 | C2 | semidirect |
| 13. C2×SD16×C19 | C22 | semidirect |
| 14. C19×C4⋊Q8 | C22 | semidirect |
| 17. Q8×Dic19 | C22 | semidirect |
| 18. C2×#64527 | C22 | semidirect |
| 28. #10597315 | C22 | semidirect |
| 29. C4×C8×C19 | C22 | semidirect |
| 30. #10597289 | C22 | semidirect |
| 31. #10597278 | C22 | semidirect |
| 33. Dic19⋊C8 | C22 | semidirect |
| 34. C4×C19⋊C8 | C22 | semidirect |
| 95. C4×D19 | SD16 | semidirect |
| 122. #492 | D19 | semidirect |
| 138. C2×SD16 | C2×D19 | semidirect |
| 140. C4⋊Q8 | C2×D19 | semidirect |
| 158. C4×C8 | C2×D19 | semidirect |
| 159. C19 | #3208 | 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 |
| #11926918 | 2 |
| #11926891 | 2 |
| #11926890 | 2 |
| #11926742 | 2 |
| #11926693 | 2 |
| #11926595 | 2 |
| C19×#492 | 2 |
| #3208 | 19 |