Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
112 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 112 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 |
|---|---|---|
| 3. Q8×Dic137 | C2 | semidirect |
| 4. #17984017 | C2 | semidirect |
| 5. #17984012 | C2 | semidirect |
| 7. C2×Q16×C137 | C2 | semidirect |
| 51. C137 | #464 | semidirect |
| 53. C2×Q16 | D137 | semidirect |