Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
262 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 107 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×#13108074 | C2 | semidirect |
| 2. #15692286 | C2 | semidirect |
| 3. #15692285 | C2 | semidirect |
| 4. #15692281 | C2 | semidirect |
| 5. #15692280 | C2 | semidirect |
| 6. #15692275 | C2 | semidirect |
| 7. C2×#13108058 | C2 | semidirect |
| 8. C2×#41×C101 | C2 | semidirect |
| 12. #13108074 | C22 | semidirect |
| 13. C2×Dic202 | C22 | semidirect |
| 14. C2×D404 | C22 | semidirect |
| 17. #13108064 | C22 | semidirect |
| 18. #13108062 | C22 | semidirect |
| 19. #13108061 | C22 | semidirect |
| 20. #13108059 | C22 | semidirect |
| 21. #13108058 | C22 | semidirect |
| 22. #13108058 | C22 | semidirect |
| 23. C2×#11717579 | C22 | semidirect |
| 27. #41×C101 | C22 | semidirect |
| 28. C2×Q8×C101 | C22 | semidirect |
| 30. C2×D4×C101 | C22 | semidirect |
| 81. C101 | #575 | semidirect |
| 84. C2×#41 | D101 | semidirect |
| 98. #41 | C2×D101 | semidirect |
| 100. C2×Q8 | C2×D101 | semidirect |
| 104. C2×D4 | C2×D101 | semidirect |