Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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×#14523237 | C2 | semidirect |
| 3. #16861197 | C2 | semidirect |
| 4. C4×D508 | C2 | semidirect |
| 5. #16861134 | C2 | semidirect |
| 6. #16861131 | C2 | semidirect |
| 7. C4⋊C8×C127 | C2 | semidirect |
| 55. C127 | #463 | semidirect |
| 61. C4⋊C8 | D127 | semidirect |