Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
168 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 168 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 |
|---|---|---|
| 3. #16863149 | C2 | semidirect |
| 4. #16863146 | C2 | semidirect |
| 5. #335×C67 | C2 | semidirect |
| 67. C67 | #1568 | semidirect |
| 71. #335 | D67 | semidirect |