Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
520 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 520 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×#10597360 | C2 | semidirect |
| 2. #11927187 | C2 | semidirect |
| 3. #11926787 | C2 | semidirect |
| 4. #11926756 | C2 | semidirect |
| 5. #11926705 | C2 | semidirect |
| 6. #11926676 | C2 | semidirect |
| 7. C4×D152 | C2 | semidirect |
| 8. #11926623 | C2 | semidirect |
| 9. C19×#495 | C2 | semidirect |
| 11. C2×D4×D19 | C22 | semidirect |
| 12. C2×Q16×C19 | C22 | semidirect |
| 13. C2×SD16×C19 | C22 | semidirect |
| 15. C19×#124 | C22 | semidirect |
| 16. #10597392 | C22 | semidirect |
| 17. C2×#64527 | C22 | semidirect |
| 22. C2×#64515 | C22 | semidirect |
| 28. C4×D76 | C22 | semidirect |
| 29. C4×C8×C19 | C22 | semidirect |
| 30. #10597292 | C22 | semidirect |
| 31. #10597289 | C22 | semidirect |
| 32. #10597278 | C22 | semidirect |
| 33. (C2×D19)⋊C8 | C22 | semidirect |
| 34. #10597275 | C22 | semidirect |
| 35. C4⋊(C19⋊C8) | C22 | semidirect |
| 69. D152 | D4 | semidirect |
| 121. #495 | D19 | semidirect |
| 137. C2×Q16 | C2×D19 | semidirect |
| 139. C2×SD16 | C2×D19 | semidirect |
| 144. #124 | C2×D19 | semidirect |
| 159. C4×C8 | C2×D19 | semidirect |
| 160. C19 | #3273 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597360 | 2 |
| #11927187 | 2 |
| #11926787 | 2 |
| #11926756 | 2 |
| #11926705 | 2 |
| #11926676 | 2 |
| C4×D152 | 2 |
| #11926623 | 2 |
| C19×#495 | 2 |
| #3273 | 19 |