Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
120 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 3. #16861207 | C2 | semidirect |
| 5. Dic127⋊C8 | C2 | semidirect |
| 6. #16861132 | C2 | semidirect |
| 7. #103×C127 | C2 | semidirect |
| 47. Dic127 | SD16 | semidirect |
| 52. C127 | #461 | semidirect |
| 60. #103 | D127 | semidirect |