Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
404 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 404 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 |
|---|---|---|
| 2. #16863799 | C2 | semidirect |
| 3. #16863744 | C2 | semidirect |
| 4. #16863709 | C2 | semidirect |
| 5. #16863673 | C2 | semidirect |
| 6. #16863449 | C2 | semidirect |
| 7. C2×C4⋊Q8×C67 | C2 | semidirect |
| 100. C67 | #3226 | semidirect |
| 102. C2×C4⋊Q8 | D67 | semidirect |