Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
162 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 63 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×#14523232 | C2 | semidirect |
| 3. #16861132 | C2 | semidirect |
| 4. #16861129 | C2 | semidirect |
| 5. C2×C4⋊C4×C127 | C2 | semidirect |
| 7. #14523248 | C4 | semidirect |
| 20. Dic254 | C2×C4 | semidirect |
| 22. D508 | C2×C4 | semidirect |
| 51. C127 | #417 | semidirect |
| 55. C2×C4⋊C4 | D127 | semidirect |