Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
120 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 120 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×Dic274 | C2 | semidirect |
| 3. #17984021 | C2 | semidirect |
| 4. #17984011 | C2 | semidirect |
| 6. #17983999 | C2 | semidirect |
| 9. #14555498 | C4 | semidirect |
| 21. Dic274 | C2×C4 | semidirect |
| 25. #11764040 | C2×C4 | semidirect |
| 49. C137 | #440 | semidirect |