Finite Group DatabasebetaFinite Group DatabasebetaOrder 8128.
248 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 99 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. #16861257 | C2 | semidirect |
| 2. #16861241 | C2 | semidirect |
| 3. #16861240 | C2 | semidirect |
| 4. #16861232 | C2 | semidirect |
| 5. #16861231 | C2 | semidirect |
| 6. Q16×D127 | C2 | semidirect |
| 7. #16861215 | C2 | semidirect |
| 8. C2×Q16×C127 | C2 | semidirect |
| 59. C127 | #578 | semidirect |
| 67. C2×Q16 | D127 | semidirect |