Finite Group DatabasebetaFinite Group DatabasebetaOrder 32192.
262 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 99 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. #41×D503 | C2 | semidirect |
| 2. #30632896 | C2 | semidirect |
| 3. #30632893 | C2 | semidirect |
| 4. #30632891 | C2 | semidirect |
| 5. #30632888 | C2 | semidirect |
| 6. #30632886 | C2 | semidirect |
| 7. #30632884 | C2 | semidirect |
| 8. C2×#22548866 | C2 | semidirect |
| 9. #135×C503 | C2 | semidirect |
| 12. #22548883 | C22 | semidirect |
| 15. Q8×D503 | C22 | semidirect |
| 17. D4×D503 | C22 | semidirect |
| 20. Dic2012 | C22 | semidirect |
| 21. #22548873 | C22 | semidirect |
| 22. #22548872 | C22 | semidirect |
| 23. #22548871 | C22 | semidirect |
| 24. #22548870 | C22 | semidirect |
| 25. D4024 | C22 | semidirect |
| 26. #22548868 | C22 | semidirect |
| 27. #22548866 | C22 | semidirect |
| 28. #22548866 | C22 | semidirect |
| 29. C2×C503⋊C8 | C22 | semidirect |
| 30. #41×C503 | C22 | semidirect |
| 31. Q16×C503 | C22 | semidirect |
| 32. SD16×C503 | C22 | semidirect |
| 33. D8×C503 | C22 | semidirect |
| 34. C2×C8×C503 | C22 | semidirect |
| 75. C503 | #575 | semidirect |
| 84. #135 | D503 | semidirect |
| 91. #41 | C2×D503 | semidirect |
| 99. Q16 | C2×D503 | semidirect |
| 103. SD16 | C2×D503 | semidirect |
| 106. D8 | C2×D503 | semidirect |
| 110. C2×C8 | C2×D503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #41×D503 | 2 |
| #30632896 | 2 |
| #30632893 | 2 |
| #30632891 | 2 |
| #30632888 | 2 |
| #30632886 | 2 |
| #30632884 | 2 |
| C2×#22548866 | 2 |
| #135×C503 | 2 |
| #575 | 503 |