Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
446 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 145 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×#14524076 | C2 | semidirect |
| 3. C2×#14524073 | C2 | semidirect |
| 4. #16863671 | C2 | semidirect |
| 5. #16863659 | C2 | semidirect |
| 6. #16863445 | C2 | semidirect |
| 7. #16863378 | C2 | semidirect |
| 8. C2×#14523961 | C2 | semidirect |
| 9. #568×C67 | C2 | semidirect |
| 21. C2×Dic268 | C22 | semidirect |
| 23. C2×#11761617 | C22 | semidirect |
| 27. #14523979 | C22 | semidirect |
| 28. #14523961 | C22 | semidirect |
| 29. #14523961 | C22 | semidirect |
| 30. #14523959 | C22 | semidirect |
| 143. C67 | #3069 | semidirect |
| 147. #568 | D67 | semidirect |