Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
356 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16863800 | C2 | semidirect |
| 3. #16863733 | C2 | semidirect |
| 4. #16863731 | C2 | semidirect |
| 5. #16863690 | C2 | semidirect |
| 6. #16863638 | C2 | semidirect |
| 7. #16863637 | C2 | semidirect |
| 8. #16863490 | C2 | semidirect |
| 10. #107×D67 | C2 | semidirect |
| 11. C2×#107×C67 | C2 | semidirect |
| 78. C22⋊D67 | Q16 | semidirect |
| 117. C67 | #3338 | semidirect |
| 128. C2×#107 | D67 | semidirect |