Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
326 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 73 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. #16863259 | C2 | semidirect |
| 3. #16863131 | C2 | semidirect |
| 4. #407×C67 | C2 | semidirect |
| 5. C22×D268 | C4 | semidirect |
| 9. #14524017 | C4 | semidirect |
| 11. C2×C4⋊Dic67 | C4 | semidirect |
| 15. C67⋊#95 | C22 | semidirect |
| 19. C22⋊C8×C67 | C22 | semidirect |
| 103. C67 | #1510 | semidirect |
| 105. #407 | D67 | semidirect |
| 120. C22⋊C8 | C2×D67 | semidirect |