Finite Group DatabasebetaFinite Group DatabasebetaOrder 6592.
258 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 258 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. #15693068 | C2 | semidirect |
| 2. #15693066 | C2 | semidirect |
| 3. #15693054 | C2 | semidirect |
| 4. #15693050 | C2 | semidirect |
| 5. #15693045 | C2 | semidirect |
| 6. #15693041 | C2 | semidirect |
| 7. #15693040 | C2 | semidirect |
| 8. C2×#13110093 | C2 | semidirect |
| 9. SD16×D103 | C2 | semidirect |
| 10. #15693029 | C2 | semidirect |
| 11. AGL(1,ℤ/8)×C103 | C2 | semidirect |
| 18. #13110104 | C22 | semidirect |
| 20. C2×Dic206 | C22 | semidirect |
| 21. Q8×D103 | C22 | semidirect |
| 25. Dic412 | C22 | semidirect |
| 26. #13110095 | C22 | semidirect |
| 27. #13110094 | C22 | semidirect |
| 28. #13110093 | C22 | semidirect |
| 29. #13110093 | C22 | semidirect |
| 30. #13110093 | C22 | semidirect |
| 31. #13110092 | 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 |
| 38. SD16×C103 | C22 | semidirect |
| 39. D8×C103 | C22 | semidirect |
| 40. M16×C103 | C22 | semidirect |
| 90. C103 | #577 | semidirect |
| 97. AGL(1,ℤ/8) | D103 | semidirect |
| 110. #41 | C2×D103 | semidirect |
| 125. SD16 | C2×D103 | semidirect |
| 127. D8 | C2×D103 | semidirect |
| 129. M16 | C2×D103 | semidirect |