Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
268 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 268 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. #15692301 | C2 | semidirect |
| 2. #15692281 | C2 | semidirect |
| 3. #15692280 | C2 | semidirect |
| 4. #15692275 | C2 | semidirect |
| 5. C2×#13108059 | C2 | semidirect |
| 6. #15692262 | C2 | semidirect |
| 7. H(5,𝔽2)×C101 | C2 | semidirect |
| 9. #13108074 | C22 | semidirect |
| 10. C2×D404 | C22 | semidirect |
| 12. #13108064 | C22 | semidirect |
| 13. #13108062 | C22 | semidirect |
| 14. #13108061 | C22 | semidirect |
| 15. #13108059 | C22 | semidirect |
| 16. #13108059 | C22 | semidirect |
| 17. #13108058 | C22 | semidirect |
| 18. C2×#11717579 | C22 | semidirect |
| 21. #41×C101 | C22 | semidirect |
| 23. C2×D4×C101 | C22 | semidirect |
| 54. C101 | #576 | semidirect |
| 57. H(5,𝔽2) | D101 | semidirect |
| 67. #41 | C2×D101 | semidirect |
| 71. C2×D4 | C2×D101 | semidirect |