Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 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. C22×#11761616 | C2 | semidirect |
| 2. #16863967 | C2 | semidirect |
| 3. #16863871 | C2 | semidirect |
| 4. #16863609 | C2 | semidirect |
| 5. #16863599 | C2 | semidirect |
| 6. #16863424 | C2 | semidirect |
| 7. #16863406 | C2 | semidirect |
| 8. #16863392 | C2 | semidirect |
| 14. #14524041 | C22 | semidirect |
| 15. #14524030 | C22 | semidirect |
| 23. Dic67⋊C8 | C22 | semidirect |
| 24. #14523968 | C22 | semidirect |
| 25. #14523967 | C22 | semidirect |
| 26. #14523964 | C22 | semidirect |
| 117. C67 | #3042 | semidirect |