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. #11927092 | C2 | semidirect |
| 2. #124×D19 | C2 | semidirect |
| 3. #11926931 | C2 | semidirect |
| 4. #11926904 | C2 | semidirect |
| 5. #11926903 | C2 | semidirect |
| 6. #11926761 | C2 | semidirect |
| 7. #11926757 | C2 | semidirect |
| 8. #11926681 | C2 | semidirect |
| 9. #11926676 | C2 | semidirect |
| 10. #11926599 | C2 | semidirect |
| 11. C19×#496 | C2 | semidirect |
| 15. C2×SD16×C19 | C22 | semidirect |
| 17. C19×#127 | C22 | semidirect |
| 25. D4×Dic19 | C22 | semidirect |
| 26. C2×#64526 | C22 | semidirect |
| 34. #10597315 | C22 | semidirect |
| 35. C19×#97 | C22 | semidirect |
| 36. #10597292 | C22 | semidirect |
| 40. #10597273 | C22 | semidirect |
| 41. Dic19⋊C8 | C22 | semidirect |
| 42. #10597260 | C22 | semidirect |
| 147. #496 | D19 | semidirect |
| 166. C2×SD16 | C2×D19 | semidirect |
| 170. #127 | 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 |
|---|---|
| #11927092 | 2 |
| #124×D19 | 2 |
| #11926931 | 2 |
| #11926904 | 2 |
| #11926903 | 2 |
| #11926761 | 2 |
| #11926757 | 2 |
| #11926681 | 2 |
| #11926676 | 2 |
| #11926599 | 2 |
| C19×#496 | 2 |
| #3213 | 19 |