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. #34062710 | C2 | semidirect |
| 2. #34062708 | C2 | semidirect |
| 3. #34062705 | C2 | semidirect |
| 4. #34062701 | C2 | semidirect |
| 5. #34062699 | C2 | semidirect |
| 6. #34062696 | C2 | semidirect |
| 7. #34062692 | C2 | semidirect |
| 9. C4×Dic1198 | C2 | semidirect |
| 10. C4×C22⋊D599 | C2 | semidirect |
| 11. C4×C22⋊D599 | C2 | semidirect |
| 12. #34062674 | C2 | semidirect |
| 13. #34062672 | C2 | semidirect |
| 14. C2×C4×Dic599 | C2 | semidirect |
| 15. C4×D4×C599 | C2 | semidirect |
| 103. C599 | #529 | semidirect |
| 116. C4×D4 | D599 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34062710 | 2 |
| #34062708 | 2 |
| #34062705 | 2 |
| #34062701 | 2 |
| #34062699 | 2 |
| #34062696 | 2 |
| #34062692 | 2 |
| #34062687 | 2 |
| C4×Dic1198 | 2 |
| C4×C22⋊D599 | 2 |
| #34062674 | 2 |
| #34062672 | 2 |
| C2×C4×Dic599 | 2 |
| C4×D4×C599 | 2 |
| #529 | 599 |