Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
424 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 119 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×#14524008 | C2 | semidirect |
| 3. #16863709 | C2 | semidirect |
| 4. #16863690 | C2 | semidirect |
| 5. #16863595 | C2 | semidirect |
| 6. #16863537 | C2 | semidirect |
| 7. #16863534 | C2 | semidirect |
| 8. #16863495 | C2 | semidirect |
| 9. #16863493 | C2 | semidirect |
| 10. #16863450 | C2 | semidirect |
| 11. #480×C67 | C2 | semidirect |
| 111. Dic134 | #41 | semidirect |
| 141. C67 | #3112 | semidirect |
| 145. #480 | D67 | semidirect |