Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
112 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 39 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×#14523238 | C2 | semidirect |
| 4. #16861174 | C2 | semidirect |
| 5. Dic127⋊C8 | C2 | semidirect |
| 7. #103×C127 | C2 | semidirect |
| 51. C127 | #464 | semidirect |
| 58. #103 | D127 | semidirect |