Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
218 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 59 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. #16863451 | C2 | semidirect |
| 3. #97×D67 | C2 | semidirect |
| 4. #16863138 | C2 | semidirect |
| 5. #16863135 | C2 | semidirect |
| 6. #16863135 | C2 | semidirect |
| 7. #330×C67 | C2 | semidirect |
| 99. C67 | #1532 | semidirect |
| 104. #330 | D67 | semidirect |