Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 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 |
|---|---|---|
| 3. #16863874 | C2 | semidirect |
| 4. #16863620 | C2 | semidirect |
| 5. #16863604 | C2 | semidirect |
| 6. #16863422 | C2 | semidirect |
| 7. #16863405 | C2 | semidirect |
| 9. C22×Q16×C67 | C2 | semidirect |
| 112. C67 | #3044 | semidirect |
| 114. C22×Q16 | D67 | semidirect |