Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
284 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#14523953 | C2 | semidirect |
| 4. #16863295 | C2 | semidirect |
| 5. #16863159 | C2 | semidirect |
| 6. #16863158 | C2 | semidirect |
| 21. #102×C67 | C4 | semidirect |
| 119. C67 | #1936 | semidirect |
| 138. #102 | Dic67 | semidirect |