Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16863737 | C2 | semidirect |
| 3. #16863726 | C2 | semidirect |
| 4. #16863720 | C2 | semidirect |
| 5. #16863714 | C2 | semidirect |
| 6. #16863439 | C2 | semidirect |
| 7. C2×#14523974 | C2 | semidirect |
| 8. #16863395 | C2 | semidirect |
| 9. #16863390 | C2 | semidirect |
| 10. #16863363 | C2 | semidirect |
| 11. #520×C67 | C2 | semidirect |
| 134. C67 | #3099 | semidirect |
| 136. #520 | D67 | semidirect |