Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
132 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 2. C4×D548 | C2 | semidirect |
| 3. #17984019 | C2 | semidirect |
| 4. #17984009 | C2 | semidirect |
| 5. #17984008 | C2 | semidirect |
| 6. #17983999 | C2 | semidirect |
| 7. C4×D4×C137 | C2 | semidirect |
| 10. #14555495 | C4 | semidirect |
| 22. D548 | C2×C4 | semidirect |
| 26. #11764040 | C2×C4 | semidirect |
| 29. D4×C137 | C2×C4 | semidirect |
| 53. C137 | #442 | semidirect |
| 57. C4×D4 | D137 | semidirect |
| 79. D4 | C4×D137 | semidirect |