Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
222 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 81 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. #16863423 | C2 | semidirect |
| 4. C2×#14523953 | C2 | semidirect |
| 5. #16863161 | C2 | semidirect |
| 6. #16863155 | C2 | semidirect |
| 19. #103×C67 | C4 | semidirect |
| 20. #102×C67 | C4 | semidirect |
| 91. C67 | #1938 | semidirect |
| 108. #103 | Dic67 | semidirect |
| 109. #102 | Dic67 | semidirect |