Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. C2×#14524049 | C2 | semidirect |
| 2. #16863963 | C2 | semidirect |
| 3. #16863646 | C2 | semidirect |
| 4. #16863629 | C2 | semidirect |
| 5. #16863434 | C2 | semidirect |
| 6. #16863401 | C2 | semidirect |
| 7. C22×D8×C67 | C2 | semidirect |
| 11. C2×#11761611 | C22 | semidirect |
| 12. C2×C8×D67 | C22 | semidirect |
| 15. #14524014 | C22 | semidirect |
| 18. #14523977 | C22 | semidirect |
| 19. #14523975 | C22 | semidirect |
| 20. #14523964 | C22 | semidirect |
| 49. C2×C8×C67 | D4 | semidirect |
| 94. C67 | #3058 | semidirect |
| 95. C22×D8 | D67 | semidirect |
| 139. C2×C8 | C22⋊D67 | semidirect |