Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
408 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 408 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 |
|---|---|---|
| 1. #16863946 | C2 | semidirect |
| 2. #16863930 | C2 | semidirect |
| 3. #16863805 | C2 | semidirect |
| 4. #16863785 | C2 | semidirect |
| 5. #16863761 | C2 | semidirect |
| 6. #16863756 | C2 | semidirect |
| 7. #16863649 | C2 | semidirect |
| 8. #16863642 | C2 | semidirect |
| 9. C4×#11761617 | C2 | semidirect |
| 10. C4×D536 | C2 | semidirect |
| 11. C4×M16×C67 | C2 | semidirect |
| 110. C8×C67 | #41 | semidirect |
| 138. C67 | #3171 | semidirect |
| 149. C4×M16 | D67 | semidirect |
| 248. C8 | #11761628 | semidirect |