Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
262 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 93 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. #16863445 | C2 | semidirect |
| 3. #16863420 | C2 | semidirect |
| 5. #16863168 | C2 | semidirect |
| 6. #16863156 | C2 | semidirect |
| 21. #104×C67 | C4 | semidirect |
| 22. #104×C67 | C4 | semidirect |
| 98. C67 | #1861 | semidirect |
| 119. #104 | Dic67 | semidirect |
| 120. #104 | Dic67 | semidirect |