Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#14524073 | C2 | semidirect |
| 2. C2×#14524050 | C2 | semidirect |
| 3. #16863967 | C2 | semidirect |
| 4. #16863652 | C2 | semidirect |
| 5. #16863640 | C2 | semidirect |
| 6. #16863635 | C2 | semidirect |
| 7. #16863623 | C2 | semidirect |
| 8. #16863436 | C2 | semidirect |
| 9. #16863392 | C2 | semidirect |
| 10. C2×#14523966 | C2 | semidirect |
| 51. #11761612 | D4 | semidirect |
| 144. C67 | #3063 | semidirect |