Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
104 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 37 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. #16861240 | C2 | semidirect |
| 3. #16861215 | C2 | semidirect |
| 4. #16861145 | C2 | semidirect |
| 5. #16861128 | C2 | semidirect |
| 6. #16861126 | C2 | semidirect |
| 7. C2×SD16×C127 | C2 | semidirect |
| 51. C127 | #471 | semidirect |
| 55. C2×SD16 | D127 | semidirect |