Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
140 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 43 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×#14523233 | C2 | semidirect |
| 2. #16861205 | C2 | semidirect |
| 3. D4×Dic127 | C2 | semidirect |
| 4. Dic127⋊C8 | C2 | semidirect |
| 5. #16861131 | C2 | semidirect |
| 6. #16861130 | C2 | semidirect |
| 7. C2×D8×C127 | C2 | semidirect |
| 36. D4×C127 | D4 | semidirect |
| 53. Dic127 | D8 | semidirect |
| 60. C127 | #459 | semidirect |
| 63. C2×D8 | D127 | semidirect |
| 92. D4 | C22⋊D127 | semidirect |