Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
158 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 55 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. C2×C8×D127 | C2 | semidirect |
| 3. #16861167 | C2 | semidirect |
| 4. #16861133 | C2 | semidirect |
| 5. #16861131 | C2 | semidirect |
| 6. #16861129 | C2 | semidirect |
| 7. #103×C127 | C2 | semidirect |
| 9. #14523249 | C4 | semidirect |
| 57. C127 | #416 | semidirect |
| 63. #103 | D127 | semidirect |