Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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×#14524043 | C2 | semidirect |
| 2. #16863791 | C2 | semidirect |
| 3. #16863766 | C2 | semidirect |
| 4. #16863606 | C2 | semidirect |
| 5. #16863601 | C2 | semidirect |
| 6. #16863551 | C2 | semidirect |
| 8. #16863453 | C2 | semidirect |
| 116. C67 | #3218 | semidirect |