Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
134 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 134 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. C4×D508 | C2 | semidirect |
| 3. #16861142 | C2 | semidirect |
| 4. #16861130 | C2 | semidirect |
| 5. #16861129 | C2 | semidirect |
| 6. C4×C127⋊C8 | C2 | semidirect |
| 7. C4×D4×C127 | C2 | semidirect |
| 10. #14523233 | C4 | direct (N × H) |
| 22. D508 | C2×C4 | semidirect |
| 26. C127⋊C8 | C2×C4 | semidirect |
| 29. D4×C127 | C2×C4 | semidirect |
| 44. C4×C127 | D8 | semidirect |
| 53. C127 | C4×D8 | semidirect |
| 57. C4×D4 | D127 | semidirect |
| 79. D4 | C4×D127 | semidirect |
| 99. C4 | #14523233 | direct (N × H) |