Finite Group DatabasebetaFinite Group DatabasebetaOrder 8384.
132 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 49 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. D4×Dic131 | C2 | semidirect |
| 3. #16862208 | C2 | semidirect |
| 4. #16862177 | C2 | semidirect |
| 5. #16862168 | C2 | semidirect |
| 6. #16862156 | C2 | semidirect |
| 7. #102×C131 | C2 | semidirect |
| 11. #14523498 | C4 | semidirect |
| 22. D524 | C2×C4 | semidirect |
| 28. C131⋊C8 | C2×C4 | semidirect |
| 31. D4×C131 | C2×C4 | semidirect |
| 53. C131 | #442 | semidirect |
| 60. #102 | D131 | semidirect |
| 79. D4 | C4×D131 | semidirect |