Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
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. #15692303 | C2 | semidirect |
| 2. #15692300 | C2 | semidirect |
| 3. #15692286 | C2 | semidirect |
| 4. #15692284 | C2 | semidirect |
| 5. #15692282 | C2 | semidirect |
| 6. #15692281 | C2 | semidirect |
| 7. #15692277 | C2 | semidirect |
| 8. #15692276 | C2 | semidirect |
| 9. SD16×D101 | C2 | semidirect |
| 10. #15692261 | C2 | semidirect |
| 11. C2×SD16×C101 | C2 | semidirect |
| 13. #13108075 | C22 | semidirect |
| 17. #13108074 | C22 | semidirect |
| 21. Q8×D101 | C22 | semidirect |
| 25. Dic404 | C22 | semidirect |
| 26. #13108064 | C22 | semidirect |
| 27. #13108063 | C22 | semidirect |
| 28. #13108063 | C22 | semidirect |
| 29. #13108062 | C22 | semidirect |
| 30. #13108061 | C22 | semidirect |
| 31. D808 | C22 | semidirect |
| 32. #13108059 | C22 | semidirect |
| 33. #13108058 | C22 | semidirect |
| 34. #13108057 | C22 | semidirect |
| 35. C8×D101 | C22 | semidirect |
| 36. C2×Q8×C101 | C22 | semidirect |
| 38. SD16×C101 | C22 | semidirect |
| 39. SD16×C101 | C22 | semidirect |
| 40. C2×C8×C101 | C22 | semidirect |
| 90. C101 | #577 | semidirect |
| 101. C2×SD16 | D101 | semidirect |
| 113. C2×Q8 | C2×D101 | semidirect |
| 124. SD16 | C2×D101 | semidirect |
| 125. SD16 | C2×D101 | semidirect |
| 131. C2×C8 | C2×D101 | semidirect |