Finite Group DatabasebetaFinite Group DatabasebetaOrder 6592.
268 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 268 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. #15693067 | C2 | semidirect |
| 2. #15693066 | C2 | semidirect |
| 3. #15693049 | C2 | semidirect |
| 4. #15693048 | C2 | semidirect |
| 5. #15693045 | C2 | semidirect |
| 6. #15693042 | C2 | semidirect |
| 7. #15693041 | C2 | semidirect |
| 8. C2×#13110090 | C2 | semidirect |
| 9. D8×D103 | C2 | semidirect |
| 10. #15693029 | C2 | semidirect |
| 11. AGL(1,ℤ/8)×C103 | C2 | semidirect |
| 12. #13110106 | C22 | semidirect |
| 15. #13110105 | C22 | semidirect |
| 17. #13110104 | C22 | semidirect |
| 19. C2×D412 | C22 | semidirect |
| 23. D4×D103 | C22 | semidirect |
| 24. D4×D103 | C22 | semidirect |
| 25. #13110095 | C22 | semidirect |
| 26. #13110094 | C22 | semidirect |
| 27. #13110093 | C22 | semidirect |
| 28. #13110092 | C22 | semidirect |
| 29. D824 | C22 | semidirect |
| 30. #13110090 | C22 | semidirect |
| 31. #13110090 | C22 | semidirect |
| 32. #13110090 | C22 | semidirect |
| 33. #13110088 | C22 | semidirect |
| 34. C2×C103⋊C8 | C22 | semidirect |
| 35. C8×D103 | C22 | semidirect |
| 36. #41×C103 | C22 | semidirect |
| 37. C2×D4×C103 | C22 | semidirect |
| 38. SD16×C103 | C22 | semidirect |
| 39. D8×C103 | C22 | semidirect |
| 40. M16×C103 | C22 | semidirect |
| 93. C103 | #576 | semidirect |
| 100. AGL(1,ℤ/8) | D103 | semidirect |
| 112. #41 | C2×D103 | semidirect |
| 120. C2×D4 | C2×D103 | semidirect |
| 125. SD16 | C2×D103 | semidirect |
| 130. D8 | C2×D103 | semidirect |
| 132. M16 | C2×D103 | semidirect |