Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
468 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14524002 | C2 | semidirect |
| 2. #16863717 | C2 | direct (N × H) |
| 3. C2×#14523976 | C2 | semidirect |
| 4. C2×#14523974 | C2 | semidirect |
| 5. C2×#14523964 | C2 | semidirect |
| 6. C2×#14523964 | C2 | semidirect |
| 7. C2×C22⋊(C67⋊C8) | C2 | semidirect |
| 12. #14524002 | C22 | semidirect |
| 17. #14523976 | C22 | semidirect |
| 18. #14523974 | C22 | semidirect |
| 19. #14523964 | C22 | semidirect |
| 20. #14523964 | C22 | semidirect |
| 21. C22⋊(C67⋊C8) | C22 | semidirect |
| 110. C2×C67 | #482 | semidirect |
| 115. C67 | C2×#482 | semidirect |
| 225. C2 | #16863717 | direct (N × H) |