Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
468 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 121 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. C2×#10597343 | C2 | semidirect |
| 3. #11926876 | C2 | semidirect |
| 4. #11926862 | C2 | semidirect |
| 5. #11926774 | C2 | semidirect |
| 6. #11926772 | C2 | semidirect |
| 7. #11926696 | C2 | semidirect |
| 8. #11926685 | C2 | semidirect |
| 9. #11926682 | C2 | semidirect |
| 10. C22⋊C8×D19 | C2 | semidirect |
| 11. C19×#481 | C2 | semidirect |
| 15. C22×Dic38 | C22 | semidirect |
| 17. C2×C4⋊C4×C19 | C22 | semidirect |
| 20. C2×#64526 | C22 | semidirect |
| 24. C2×#64516 | C22 | semidirect |
| 25. C2×C8×D19 | C22 | semidirect |
| 29. #10597343 | C22 | semidirect |
| 34. C19×#106 | C22 | semidirect |
| 35. C19×#102 | C22 | semidirect |
| 36. C19×C22⋊C8 | C22 | semidirect |
| 37. C22⋊(C19⋊C8) | C22 | semidirect |
| 39. #10597273 | C22 | semidirect |
| 40. #10597267 | C22 | semidirect |
| 41. #10597266 | C22 | semidirect |
| 42. #10597265 | C22 | semidirect |
| 93. C22×D19 | SD16 | semidirect |
| 156. #481 | D19 | semidirect |
| 190. C2×C4⋊C4 | C2×D19 | semidirect |
| 194. #106 | C2×D19 | semidirect |
| 198. #102 | C2×D19 | semidirect |
| 201. C22⋊C8 | C2×D19 | semidirect |
| 202. C19 | #3187 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597343 | 2 |
| #121×D19 | 2 |
| #11926876 | 2 |
| #11926862 | 2 |
| #11926774 | 2 |
| #11926772 | 2 |
| #11926696 | 2 |
| #11926685 | 2 |
| #11926682 | 2 |
| C22⋊C8×D19 | 2 |
| C19×#481 | 2 |
| #3187 | 19 |