Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
130 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 130 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 |
|---|---|---|
| 1. C2×#14523238 | C2 | semidirect |
| 2. C2×#14523236 | C2 | semidirect |
| 3. C2×#14523235 | C2 | semidirect |
| 5. #16861197 | C2 | semidirect |
| 6. C4×C127⋊C8 | C2 | semidirect |
| 7. #124×C127 | C2 | semidirect |
| 51. C127 | #495 | semidirect |
| 58. #124 | D127 | semidirect |