Finite Group DatabasebetaFinite Group DatabasebetaOrder 6208.
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. #15690857 | C2 | semidirect |
| 2. #15690855 | C2 | semidirect |
| 3. #15690843 | C2 | semidirect |
| 4. #15690839 | C2 | semidirect |
| 5. #15690834 | C2 | semidirect |
| 6. #15690830 | C2 | semidirect |
| 7. #15690829 | C2 | semidirect |
| 8. C2×#13095499 | C2 | semidirect |
| 9. SD16×D97 | C2 | semidirect |
| 10. #15690818 | C2 | semidirect |
| 11. AGL(1,ℤ/8)×C97 | C2 | semidirect |
| 18. #13095510 | C22 | semidirect |
| 20. C2×Dic194 | C22 | semidirect |
| 21. Q8×D97 | C22 | semidirect |
| 25. Dic388 | C22 | semidirect |
| 26. #13095501 | C22 | semidirect |
| 27. #13095500 | C22 | semidirect |
| 28. #13095499 | C22 | semidirect |
| 29. #13095499 | C22 | semidirect |
| 30. #13095499 | C22 | semidirect |
| 31. #13095498 | C22 | semidirect |
| 32. #13095496 | C22 | semidirect |
| 33. #13095494 | C22 | semidirect |
| 34. C2×#11715895 | C22 | semidirect |
| 35. C8×D97 | C22 | semidirect |
| 36. #41×C97 | C22 | semidirect |
| 38. SD16×C97 | C22 | semidirect |
| 39. D8×C97 | C22 | semidirect |
| 40. M16×C97 | C22 | semidirect |
| 90. C97 | #577 | semidirect |
| 97. AGL(1,ℤ/8) | D97 | semidirect |
| 110. #41 | C2×D97 | semidirect |
| 125. SD16 | C2×D97 | semidirect |
| 127. D8 | C2×D97 | semidirect |
| 129. M16 | C2×D97 | semidirect |