Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
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×#13108073 | C2 | semidirect |
| 2. #41×D101 | C2 | semidirect |
| 3. #15692288 | C2 | semidirect |
| 4. #15692285 | C2 | semidirect |
| 5. #15692284 | C2 | semidirect |
| 6. #15692281 | C2 | semidirect |
| 7. #15692279 | C2 | semidirect |
| 8. #15692276 | C2 | semidirect |
| 9. #15692274 | C2 | semidirect |
| 10. M16×D101 | C2 | semidirect |
| 11. AGL(1,ℤ/8)×C101 | C2 | semidirect |
| 12. #13108075 | C22 | semidirect |
| 19. #13108073 | C22 | semidirect |
| 20. #13108073 | C22 | semidirect |
| 21. C2×Dic202 | C22 | semidirect |
| 22. Q8×D101 | C22 | semidirect |
| 25. D4×D101 | C22 | semidirect |
| 29. Dic404 | C22 | semidirect |
| 30. #13108064 | C22 | semidirect |
| 31. #13108063 | C22 | semidirect |
| 32. #13108062 | C22 | semidirect |
| 33. #13108062 | C22 | semidirect |
| 34. #13108059 | C22 | semidirect |
| 35. #13108058 | C22 | semidirect |
| 36. #13108057 | C22 | semidirect |
| 37. C8×D101 | C22 | semidirect |
| 39. C2×D4×C101 | C22 | semidirect |
| 40. SD16×C101 | C22 | semidirect |
| 41. D8×C101 | C22 | semidirect |
| 42. M16×C101 | C22 | semidirect |
| 101. C101 | #575 | semidirect |
| 110. AGL(1,ℤ/8) | D101 | semidirect |
| 129. C2×D4 | C2×D101 | semidirect |
| 138. SD16 | C2×D101 | semidirect |
| 140. D8 | C2×D101 | semidirect |
| 143. M16 | C2×D101 | semidirect |