Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
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. #15692301 | C2 | semidirect |
| 2. #15692300 | C2 | semidirect |
| 3. #15692283 | C2 | semidirect |
| 4. #15692282 | C2 | semidirect |
| 5. #15692279 | C2 | semidirect |
| 6. #15692276 | C2 | semidirect |
| 7. #15692275 | C2 | semidirect |
| 8. C2×#13108059 | C2 | semidirect |
| 9. D8×D101 | C2 | semidirect |
| 10. #15692263 | C2 | semidirect |
| 11. AGL(1,ℤ/8)×C101 | C2 | semidirect |
| 12. #13108075 | C22 | semidirect |
| 15. #13108074 | C22 | semidirect |
| 17. #13108073 | C22 | semidirect |
| 19. C2×D404 | C22 | semidirect |
| 23. D4×D101 | C22 | semidirect |
| 24. D4×D101 | C22 | semidirect |
| 25. #13108064 | C22 | semidirect |
| 26. #13108063 | C22 | semidirect |
| 27. #13108062 | C22 | semidirect |
| 28. #13108061 | C22 | semidirect |
| 29. D808 | C22 | semidirect |
| 30. #13108059 | C22 | semidirect |
| 31. #13108059 | C22 | semidirect |
| 32. #13108059 | C22 | semidirect |
| 33. #13108057 | C22 | semidirect |
| 34. C2×#11717579 | C22 | semidirect |
| 35. C8×D101 | C22 | semidirect |
| 36. #41×C101 | C22 | semidirect |
| 37. C2×D4×C101 | C22 | semidirect |
| 38. SD16×C101 | C22 | semidirect |
| 39. D8×C101 | C22 | semidirect |
| 40. M16×C101 | C22 | semidirect |
| 93. C101 | #576 | semidirect |
| 100. AGL(1,ℤ/8) | D101 | semidirect |
| 112. #41 | C2×D101 | semidirect |
| 120. C2×D4 | C2×D101 | semidirect |
| 125. SD16 | C2×D101 | semidirect |
| 130. D8 | C2×D101 | semidirect |
| 132. M16 | C2×D101 | semidirect |