Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
326 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 67 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. #16863439 | C2 | semidirect |
| 3. C2×#14523971 | C2 | semidirect |
| 4. #16863398 | C2 | semidirect |
| 5. C2×#14523959 | C2 | semidirect |
| 6. #16863298 | C2 | semidirect |
| 7. #339×C67 | C2 | semidirect |
| 46. #11761612 | D4 | semidirect |
| 131. C67 | #2037 | semidirect |
| 138. #339 | D67 | semidirect |