Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
190 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 50 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. D101⋊M16 | C2 | semidirect |
| 2. #15692334 | C2 | semidirect |
| 3. #15692317 | C2 | semidirect |
| 7. D101⋊C8 | C22 | semidirect |
| 8. C4⋊#87938 | C22 | semidirect |
| 12. C2×D404 | C4 | semidirect |
| 16. D4×D101 | C4 | semidirect |
| 19. C2×D4×C101 | C4 | semidirect |
| 61. C101 | #418 | semidirect |
| 74. C2×D4 | #87938 | semidirect |