Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
446 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 129 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. #16864162 | C2 | semidirect |
| 5. #16863670 | C2 | semidirect |
| 6. #16863658 | C2 | semidirect |
| 7. #16863444 | C2 | semidirect |
| 8. C2×#14523961 | C2 | semidirect |
| 9. #413×C67 | C2 | semidirect |
| 22. C2×#11761618 | C22 | semidirect |
| 24. C2×#11761616 | C22 | semidirect |
| 30. #14523978 | C22 | semidirect |
| 31. #14523961 | C22 | semidirect |
| 35. #101×C67 | C22 | semidirect |
| 36. #100×C67 | C22 | semidirect |
| 143. C67 | #3069 | semidirect |
| 151. #413 | D67 | semidirect |
| 178. #101 | C2×D67 | semidirect |
| 179. #100 | C2×D67 | semidirect |