Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
404 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#14524042 | C2 | semidirect |
| 3. #16863800 | C2 | semidirect |
| 4. #16863741 | C2 | semidirect |
| 5. #16863710 | C2 | semidirect |
| 6. #16863709 | C2 | semidirect |
| 7. #16863707 | C2 | semidirect |
| 8. #16863675 | C2 | semidirect |
| 9. #16863674 | C2 | semidirect |
| 10. #16863446 | C2 | semidirect |
| 11. #480×C67 | C2 | semidirect |
| 138. C67 | #3226 | semidirect |
| 146. #480 | D67 | semidirect |