Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
490 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 125 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. #11927078 | C2 | semidirect |
| 2. #11926931 | C2 | semidirect |
| 3. #11926908 | C2 | semidirect |
| 4. #11926741 | C2 | semidirect |
| 5. #11926736 | C2 | semidirect |
| 6. #11926695 | C2 | semidirect |
| 7. #11926678 | C2 | semidirect |
| 8. #11926601 | C2 | semidirect |
| 9. C2×C19×#127 | C2 | semidirect |
| 18. C2×#64526 | C22 | semidirect |
| 19. C2×#64525 | C22 | semidirect |
| 25. #10597321 | C22 | semidirect |
| 26. C4×D76 | C22 | semidirect |
| 28. #10597316 | C22 | semidirect |
| 29. C4×Dic38 | C22 | semidirect |
| 30. #10597289 | C22 | semidirect |
| 31. #10597289 | C22 | semidirect |
| 33. C4⋊(C19⋊C8) | C22 | semidirect |
| 34. #10597260 | C22 | semidirect |
| 122. C2×#127 | D19 | semidirect |
| 162. C19 | #3217 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927078 | 2 |
| #11926931 | 2 |
| #11926908 | 2 |
| #11926741 | 2 |
| #11926736 | 2 |
| #11926695 | 2 |
| #11926678 | 2 |
| #11926601 | 2 |
| C2×C19×#127 | 2 |
| #3217 | 19 |