Finite Group DatabasebetaFinite Group DatabasebetaOrder 32192.
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. #30632859 | C2 | semidirect |
| 2. #30632857 | C2 | semidirect |
| 3. #30632854 | C2 | semidirect |
| 4. #30632850 | C2 | semidirect |
| 5. #30632848 | C2 | semidirect |
| 6. #30632845 | C2 | semidirect |
| 7. #30632841 | C2 | semidirect |
| 9. C4×Dic1006 | C2 | semidirect |
| 10. C4×C22⋊D503 | C2 | semidirect |
| 11. C4×C22⋊D503 | C2 | semidirect |
| 12. #30632823 | C2 | semidirect |
| 13. #30632821 | C2 | semidirect |
| 14. C2×C4×Dic503 | C2 | semidirect |
| 15. C4×D4×C503 | C2 | semidirect |
| 103. C503 | #529 | semidirect |
| 116. C4×D4 | D503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #30632859 | 2 |
| #30632857 | 2 |
| #30632854 | 2 |
| #30632850 | 2 |
| #30632848 | 2 |
| #30632845 | 2 |
| #30632841 | 2 |
| #30632836 | 2 |
| C4×Dic1006 | 2 |
| C4×C22⋊D503 | 2 |
| #30632823 | 2 |
| #30632821 | 2 |
| C2×C4×Dic503 | 2 |
| C4×D4×C503 | 2 |
| #529 | 503 |