Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
124 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 124 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×#14523236 | C2 | semidirect |
| 3. #16861197 | C2 | semidirect |
| 4. C4⋊(C127⋊C8) | C2 | semidirect |
| 5. #16861132 | C2 | semidirect |
| 6. #16861129 | C2 | semidirect |
| 7. C4×D4×C127 | C2 | semidirect |
| 55. C127 | #463 | semidirect |
| 60. C4×D4 | D127 | semidirect |