Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
150 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 47 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. #107×D67 | C2 | semidirect |
| 3. #16863224 | C2 | semidirect |
| 4. #16863223 | C2 | semidirect |
| 5. #16863197 | C2 | semidirect |
| 6. (C2×D67)⋊C16 | C2 | semidirect |
| 7. #357×C67 | C2 | semidirect |
| 71. C67 | #2233 | semidirect |
| 77. #357 | D67 | semidirect |