Finite Group DatabasebetaFinite Group DatabasebetaOrder 6208.
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. C2×#13095510 | C2 | semidirect |
| 2. #41×D97 | C2 | semidirect |
| 3. #15690843 | C2 | semidirect |
| 4. #15690840 | C2 | semidirect |
| 5. #15690839 | C2 | semidirect |
| 6. #15690836 | C2 | semidirect |
| 7. #15690834 | C2 | semidirect |
| 8. #15690831 | C2 | semidirect |
| 9. #15690829 | C2 | semidirect |
| 10. M16×D97 | C2 | semidirect |
| 11. AGL(1,ℤ/8)×C97 | C2 | semidirect |
| 12. #13095512 | C22 | semidirect |
| 19. #13095510 | C22 | semidirect |
| 20. #13095510 | C22 | semidirect |
| 21. C2×Dic194 | C22 | semidirect |
| 22. Q8×D97 | C22 | semidirect |
| 25. D4×D97 | C22 | semidirect |
| 29. Dic388 | C22 | semidirect |
| 30. #13095501 | C22 | semidirect |
| 31. #13095500 | C22 | semidirect |
| 32. #13095499 | C22 | semidirect |
| 33. #13095499 | C22 | semidirect |
| 34. #13095496 | C22 | semidirect |
| 35. #13095495 | C22 | semidirect |
| 36. #13095494 | C22 | semidirect |
| 37. C8×D97 | C22 | semidirect |
| 39. C2×D4×C97 | C22 | semidirect |
| 40. SD16×C97 | C22 | semidirect |
| 41. D8×C97 | C22 | semidirect |
| 42. M16×C97 | C22 | semidirect |
| 101. C97 | #575 | semidirect |
| 110. AGL(1,ℤ/8) | D97 | semidirect |
| 129. C2×D4 | C2×D97 | semidirect |
| 138. SD16 | C2×D97 | semidirect |
| 140. D8 | C2×D97 | semidirect |
| 143. M16 | C2×D97 | semidirect |