Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
384 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14524034 | C2 | semidirect |
| 3. #16863706 | C2 | semidirect |
| 4. #16863702 | C2 | semidirect |
| 5. #16863699 | C2 | semidirect |
| 6. #16863695 | C2 | semidirect |
| 7. #16863439 | C2 | semidirect |
| 8. #16863419 | C2 | semidirect |
| 11. #428×C67 | C2 | semidirect |
| 136. C67 | #3080 | semidirect |
| 144. #428 | D67 | semidirect |