Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
358 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 119 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. #16863793 | C2 | semidirect |
| 3. #16863774 | C2 | semidirect |
| 4. #16863745 | C2 | semidirect |
| 7. #16863503 | C2 | semidirect |
| 8. #16863502 | C2 | semidirect |
| 9. #16863500 | C2 | semidirect |
| 106. C67 | #3185 | semidirect |