Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#14524022 | C2 | semidirect |
| 3. #16863738 | C2 | semidirect |
| 4. #16863727 | C2 | semidirect |
| 5. #16863710 | C2 | semidirect |
| 6. #16863637 | C2 | semidirect |
| 7. #16863625 | C2 | semidirect |
| 8. #16863560 | C2 | semidirect |
| 9. #16863554 | C2 | semidirect |
| 10. #16863537 | C2 | semidirect |
| 11. C2×C22⋊C8×C67 | C2 | semidirect |
| 14. C2×Dic268 | C22 | semidirect |
| 15. C2×#11761617 | C22 | semidirect |
| 32. #14523977 | C22 | semidirect |
| 33. #14523975 | C22 | semidirect |
| 34. #14523968 | C22 | semidirect |
| 35. #14523968 | C22 | semidirect |
| 36. #14523968 | C22 | semidirect |
| 37. #14523965 | C22 | semidirect |
| 150. C67 | #3190 | semidirect |
| 161. C2×C22⋊C8 | D67 | semidirect |