Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
444 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 111 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. #11927095 | C2 | semidirect |
| 2. #124×D19 | C2 | semidirect |
| 3. #11926934 | C2 | semidirect |
| 4. #11926933 | C2 | semidirect |
| 5. #11926906 | C2 | semidirect |
| 6. #11926762 | C2 | semidirect |
| 7. #11926758 | C2 | semidirect |
| 8. #11926684 | C2 | semidirect |
| 9. #11926679 | C2 | semidirect |
| 10. #11926599 | C2 | semidirect |
| 11. C19×#489 | C2 | semidirect |
| 15. C19×C4⋊Q8 | C22 | semidirect |
| 19. C2×#64527 | C22 | semidirect |
| 23. C2×#64516 | C22 | semidirect |
| 27. #10597339 | C22 | semidirect |
| 33. #10597320 | C22 | semidirect |
| 35. C19×#103 | C22 | semidirect |
| 37. C19×#97 | C22 | semidirect |
| 39. Dic19⋊C8 | C22 | semidirect |
| 40. #10597267 | C22 | semidirect |
| 42. #10597260 | C22 | semidirect |
| 149. #489 | D19 | semidirect |
| 169. C4⋊Q8 | C2×D19 | semidirect |
| 187. #103 | C2×D19 | semidirect |
| 192. #97 | C2×D19 | semidirect |
| 193. C19 | #3213 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927095 | 2 |
| #124×D19 | 2 |
| #11926934 | 2 |
| #11926933 | 2 |
| #11926906 | 2 |
| #11926762 | 2 |
| #11926758 | 2 |
| #11926684 | 2 |
| #11926679 | 2 |
| #11926599 | 2 |
| C19×#489 | 2 |
| #3213 | 19 |