Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
334 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 113 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×#14524034 | C2 | semidirect |
| 3. #16863796 | C2 | semidirect |
| 4. #16863749 | C2 | semidirect |
| 5. #16863731 | C2 | semidirect |
| 6. #16863727 | C2 | semidirect |
| 8. #16863706 | C2 | semidirect |
| 9. #16863698 | C2 | semidirect |
| 10. #16863446 | C2 | semidirect |
| 126. C67 | #3232 | semidirect |