Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
446 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 137 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×#14524074 | C2 | semidirect |
| 3. #16864162 | C2 | semidirect |
| 4. #16863668 | C2 | semidirect |
| 5. #16863656 | C2 | semidirect |
| 6. #16863445 | C2 | semidirect |
| 7. #16863380 | C2 | semidirect |
| 8. C2×#14523962 | C2 | semidirect |
| 9. C2×#137×C67 | C2 | semidirect |
| 26. #14523979 | C22 | semidirect |
| 27. #14523962 | C22 | semidirect |
| 28. #14523962 | C22 | semidirect |
| 29. #14523960 | C22 | semidirect |
| 34. C2×Q16×C67 | C22 | semidirect |
| 35. C2×SD16×C67 | C22 | semidirect |
| 143. C67 | #3069 | semidirect |
| 146. C2×#137 | D67 | semidirect |
| 166. C2×Q16 | C2×D67 | semidirect |
| 168. C2×SD16 | C2×D67 | semidirect |