Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #16864013 | C2 | semidirect |
| 2. #16863793 | C2 | semidirect |
| 3. #16863779 | C2 | semidirect |
| 4. #16863754 | C2 | semidirect |
| 5. #16863654 | C2 | semidirect |
| 6. #16863623 | C2 | semidirect |
| 7. #16863508 | C2 | semidirect |
| 8. #16863502 | C2 | semidirect |
| 9. #16863487 | C2 | semidirect |
| 10. #16863354 | C2 | semidirect |
| 110. C67 | #3173 | semidirect |