Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
158 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 59 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. #16861123 | C2 | semidirect |
| 4. #117×C127 | C2 | semidirect |
| 9. C2×Dic254 | C4 | semidirect |
| 10. C2×D508 | C4 | semidirect |
| 12. C2×C4×D127 | C4 | semidirect |
| 57. C127 | #410 | semidirect |
| 61. #117 | D127 | semidirect |