Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
162 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 1. C2×#14523235 | C2 | semidirect |
| 2. C2×#14523233 | C2 | semidirect |
| 3. #16861183 | C2 | semidirect |
| 4. #16861133 | C2 | semidirect |
| 5. #16861130 | C2 | semidirect |
| 6. C22⋊(C127⋊C8) | C2 | semidirect |
| 7. C2×#41×C127 | C2 | semidirect |
| 33. Q8×C127 | D4 | semidirect |
| 36. D4×C127 | D4 | semidirect |
| 64. C127 | #449 | semidirect |
| 66. C2×#41 | D127 | semidirect |
| 92. Q8 | C22⋊D127 | semidirect |
| 98. D4 | C22⋊D127 | semidirect |