Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
1412 conjugacy classes of subgroups; only the 545 normal subgroups are shown.
This group has 1412 conjugacy classes of subgroups — too many to draw. Only its 545 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. #11927380 | C2 | semidirect |
| 2. #11927359 | C2 | semidirect |
| 3. #11927352 | C2 | semidirect |
| 4. #11927342 | C2 | semidirect |
| 5. C2×#10597388 | C2 | semidirect |
| 6. #11927311 | C2 | semidirect |
| 7. C2×C19×2−1+4 | C2 | semidirect |
| 9. C19×2−1+4 | C22 | semidirect |
| 12. C2×#41×C19 | C22 | semidirect |
| 14. C22×Q8×C19 | C22 | semidirect |
| 15. #10597436 | C22 | semidirect |
| 16. #10597435 | C22 | semidirect |
| 21. #10597397 | C22 | semidirect |
| 22. #10597396 | C22 | semidirect |
| 23. #10597395 | C22 | semidirect |
| 24. #10597394 | C22 | semidirect |
| 25. C2×#64528 | C22 | semidirect |
| 26. #10597388 | C22 | semidirect |
| 27. #10597388 | C22 | semidirect |
| 28. C2×#64527 | C22 | semidirect |
| 29. #10597378 | C22 | semidirect |
| 30. C2×#64520 | C22 | semidirect |
| 109. C2×2−1+4 | D19 | semidirect |
| 123. 2−1+4 | C2×D19 | semidirect |
| 130. C2×#41 | C2×D19 | semidirect |
| 132. C22×Q8 | C2×D19 | semidirect |
| 143. C19 | #3586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927380 | 2 |
| #11927359 | 2 |
| #11927352 | 2 |
| #11927342 | 2 |
| C2×#10597388 | 2 |
| #11927311 | 2 |
| C2×C19×2−1+4 | 2 |
| #3586 | 19 |