Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
100 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 100 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 |
|---|---|---|
| 3. C2×#14523238 | C2 | semidirect |
| 5. #16861144 | C2 | semidirect |
| 6. #16861127 | C2 | semidirect |
| 7. #101×C127 | C2 | semidirect |
| 49. C127 | #473 | semidirect |
| 57. #101 | D127 | semidirect |