Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
494 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 123 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. #11927199 | C2 | semidirect |
| 2. #11927179 | C2 | semidirect |
| 3. #11926890 | C2 | semidirect |
| 4. #11926856 | C2 | semidirect |
| 5. #11926825 | C2 | semidirect |
| 6. #11926777 | C2 | semidirect |
| 7. #11926676 | C2 | semidirect |
| 8. C4×#64525 | C2 | semidirect |
| 9. #11926609 | C2 | semidirect |
| 10. #102×D19 | C2 | semidirect |
| 11. C19×#459 | C2 | semidirect |
| 15. C2×D8×C19 | C22 | semidirect |
| 17. C4×D4×C19 | C22 | semidirect |
| 20. #10597384 | C22 | semidirect |
| 24. C2×C8×D19 | C22 | semidirect |
| 25. C4⋊C4×D19 | C22 | semidirect |
| 29. #10597315 | C22 | semidirect |
| 30. C19×C4⋊C8 | C22 | semidirect |
| 31. C19×#102 | C22 | semidirect |
| 32. #10597289 | C22 | semidirect |
| 33. #10597289 | C22 | semidirect |
| 34. #10597289 | C22 | semidirect |
| 36. (C2×D19)⋊C8 | C22 | semidirect |
| 37. #10597275 | C22 | semidirect |
| 39. #10597264 | C22 | semidirect |
| 40. C4×C19⋊C8 | C22 | semidirect |
| 103. D76 | D8 | semidirect |
| 104. D76 | #41 | semidirect |
| 142. #459 | D19 | semidirect |
| 158. C2×D8 | C2×D19 | semidirect |
| 170. C4×D4 | C2×D19 | semidirect |
| 174. C4⋊C8 | C2×D19 | semidirect |
| 180. #102 | C2×D19 | semidirect |
| 183. C19 | #3294 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927199 | 2 |
| #11927179 | 2 |
| #11926890 | 2 |
| #11926856 | 2 |
| #11926825 | 2 |
| #11926777 | 2 |
| #11926676 | 2 |
| C4×#64525 | 2 |
| #11926609 | 2 |
| #102×D19 | 2 |
| C19×#459 | 2 |
| #3294 | 19 |