Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
472 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 115 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. #11927054 | C2 | semidirect |
| 2. C2×#10597341 | C2 | semidirect |
| 3. #11926879 | C2 | semidirect |
| 4. #11926870 | C2 | semidirect |
| 5. #11926779 | C2 | semidirect |
| 6. #11926774 | C2 | semidirect |
| 7. #11926697 | C2 | semidirect |
| 8. #11926690 | C2 | semidirect |
| 9. #11926677 | C2 | semidirect |
| 10. C22⋊C8×D19 | C2 | semidirect |
| 11. C19×#481 | C2 | semidirect |
| 12. C2×#64543 | C22 | semidirect |
| 18. #10597384 | C22 | semidirect |
| 21. C2×#64525 | C22 | semidirect |
| 24. C2×#64516 | C22 | semidirect |
| 25. C2×C8×D19 | C22 | semidirect |
| 26. #10597343 | C22 | semidirect |
| 31. #10597338 | C22 | semidirect |
| 34. C19×#106 | C22 | semidirect |
| 35. C19×#102 | C22 | semidirect |
| 38. #10597278 | C22 | semidirect |
| 39. (C2×D19)⋊C8 | C22 | semidirect |
| 40. #10597267 | C22 | semidirect |
| 41. #10597266 | C22 | semidirect |
| 42. #10597264 | C22 | semidirect |
| 155. #481 | D19 | semidirect |
| 193. #106 | C2×D19 | semidirect |
| 197. #102 | C2×D19 | semidirect |
| 201. C19 | #3188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927054 | 2 |
| C2×#10597341 | 2 |
| #11926879 | 2 |
| #11926870 | 2 |
| #11926779 | 2 |
| #11926774 | 2 |
| #11926697 | 2 |
| #11926690 | 2 |
| #11926677 | 2 |
| C22⋊C8×D19 | 2 |
| C19×#481 | 2 |
| #3188 | 19 |