Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
152 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 152 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 |
|---|---|---|
| 2. C2×#14523238 | C2 | semidirect |
| 3. C2×#14523237 | C2 | semidirect |
| 4. #16861189 | C2 | semidirect |
| 5. #16861129 | C2 | semidirect |
| 6. (C2×D127)⋊C8 | C2 | semidirect |
| 7. #103×C127 | C2 | semidirect |
| 60. C127 | #452 | semidirect |
| 66. #103 | D127 | semidirect |