Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
274 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 87 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. #16863158 | C2 | semidirect |
| 4. #16863151 | C2 | semidirect |
| 5. #384×C67 | C2 | semidirect |
| 93. C67 | #2071 | semidirect |
| 96. #384 | D67 | semidirect |