Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
110 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 110 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 |
|---|---|---|
| 2. #16861200 | C2 | semidirect |
| 3. #16861131 | C2 | semidirect |
| 4. #16861130 | C2 | semidirect |
| 5. #16861129 | C2 | semidirect |
| 6. #16861119 | C2 | semidirect |
| 7. #102×C127 | C2 | semidirect |
| 52. C127 | #490 | semidirect |
| 59. #102 | D127 | semidirect |