Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
368 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 368 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. #16863803 | C2 | semidirect |
| 4. #16863759 | C2 | semidirect |
| 5. #16863714 | C2 | semidirect |
| 6. #16863710 | C2 | semidirect |
| 7. #16863707 | C2 | semidirect |
| 8. #16863695 | C2 | semidirect |
| 9. #16863694 | C2 | semidirect |
| 10. #16863450 | C2 | semidirect |
| 11. #481×C67 | C2 | semidirect |
| 135. C67 | #3234 | semidirect |
| 141. #481 | D67 | semidirect |