Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
198 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 47 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. C22×D404 | C2 | semidirect |
| 2. C2×#13108059 | C2 | semidirect |
| 3. #15692175 | C2 | semidirect |
| 4. C22⋊#11717579 | C2 | semidirect |
| 5. #121×C101 | C2 | semidirect |
| 11. C2×#11717579 | C22 | semidirect |
| 13. C2×D4×C101 | C22 | semidirect |
| 15. C4⋊C4×C101 | C22 | semidirect |
| 31. D404 | D4 | semidirect |
| 38. C22×C101 | D8 | semidirect |
| 53. C101 | #447 | semidirect |
| 57. #121 | D101 | semidirect |
| 65. C2×D4 | C2×D101 | semidirect |
| 69. C4⋊C4 | C2×D101 | semidirect |
| 96. C22 | #13108059 | semidirect |