Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
460 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 165 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 |
|---|---|---|
| 3. #16863727 | C2 | direct (N × H) |
| 4. C2×#14523975 | C2 | semidirect |
| 5. C2×#14523968 | C2 | semidirect |
| 18. #14523975 | C22 | semidirect |
| 19. #14523968 | C22 | semidirect |
| 83. C2×C67 | #483 | semidirect |
| 88. C67 | C2×#483 | semidirect |
| 171. C2 | #16863727 | direct (N × H) |