Finite Group DatabasebetaFinite Group DatabasebetaOrder 38336.
234 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 101 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. #34062708 | C2 | semidirect |
| 2. #34062706 | C2 | semidirect |
| 3. #34062702 | C2 | semidirect |
| 4. #34062697 | C2 | semidirect |
| 5. #34062695 | C2 | semidirect |
| 7. C4×Dic1198 | C2 | semidirect |
| 8. C4×C22⋊D599 | C2 | semidirect |
| 9. #34062674 | C2 | semidirect |
| 10. C42×D599 | C2 | semidirect |
| 11. C4×D4×C599 | C2 | semidirect |
| 74. C599 | #529 | semidirect |
| 84. C4×D4 | D599 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34062708 | 2 |
| #34062706 | 2 |
| #34062702 | 2 |
| #34062697 | 2 |
| #34062695 | 2 |
| #34062686 | 2 |
| C4×Dic1198 | 2 |
| C4×C22⋊D599 | 2 |
| #34062674 | 2 |
| C42×D599 | 2 |
| C4×D4×C599 | 2 |
| #529 | 599 |