Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
162 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 43 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×#14555509 | C2 | semidirect |
| 2. C2×#14555499 | C2 | semidirect |
| 3. C2×#14555495 | C2 | semidirect |
| 4. #17984063 | C2 | semidirect |
| 5. #17984011 | C2 | semidirect |
| 6. #17984000 | C2 | semidirect |
| 7. #102×C137 | C2 | semidirect |
| 26. Dic274 | D4 | semidirect |
| 39. D4×C137 | D4 | semidirect |
| 64. C137 | #449 | semidirect |
| 71. #102 | D137 | semidirect |
| 98. D4 | D548 | semidirect |