Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
106 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 39 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. #16861168 | C2 | semidirect |
| 3. #16861143 | C2 | semidirect |
| 4. #16861141 | C2 | semidirect |
| 5. #16861131 | C2 | semidirect |
| 6. #16861131 | C2 | semidirect |
| 7. C22⋊C8×C127 | C2 | semidirect |
| 51. C127 | #482 | semidirect |
| 59. C22⋊C8 | D127 | semidirect |