Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
342 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16863797 | C2 | semidirect |
| 3. #16863739 | C2 | semidirect |
| 4. #16863726 | C2 | semidirect |
| 5. #16863702 | C2 | semidirect |
| 6. #16863638 | C2 | semidirect |
| 7. #16863637 | C2 | semidirect |
| 8. #16863490 | C2 | semidirect |
| 10. #16863433 | C2 | semidirect |
| 11. C2×#107×C67 | C2 | semidirect |
| 115. C67 | #3336 | semidirect |
| 126. C2×#107 | D67 | semidirect |