Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
298 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 148 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×#13108084 | C2 | semidirect |
| 2. D101⋊M16 | C2 | direct (N × H) |
| 3. C2×#13108083 | C2 | semidirect |
| 4. C2×D101⋊C8 | C2 | semidirect |
| 6. #13108084 | C22 | semidirect |
| 7. #13108083 | C22 | semidirect |
| 8. D101⋊C8 | C22 | semidirect |
| 9. C2×#11717581 | C22 | semidirect |
| 37. #11717581 | C23 | semidirect |
| 43. C2×D101 | M16 | semidirect |
| 52. C2×C101 | C2×M16 | semidirect |
| 55. D101 | C2×M16 | semidirect |
| 56. C101 | C22×M16 | semidirect |
| 111. C2 | D101⋊M16 | direct (N × H) |