Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
108 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 108 conjugacy classes of subgroups — too many to draw. Only its 35 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. #16861237 | C2 | semidirect |
| 2. #16861235 | C2 | semidirect |
| 3. C2×#14523233 | C2 | semidirect |
| 4. #16861217 | C2 | semidirect |
| 5. #16861144 | C2 | semidirect |
| 6. #16861125 | C2 | semidirect |
| 7. #100×C127 | C2 | semidirect |
| 53. C127 | #472 | semidirect |
| 61. #100 | D127 | semidirect |