Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
146 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 53 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. #16863512 | C2 | semidirect |
| 3. #16863202 | C2 | semidirect |
| 4. C16×Dic67 | C2 | semidirect |
| 5. #368×C67 | C2 | semidirect |
| 8. Dic536 | C4 | semidirect |
| 9. #14523988 | C4 | semidirect |
| 10. D1072 | C4 | semidirect |
| 50. C67 | #2178 | semidirect |
| 53. #368 | D67 | semidirect |