Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 1. #16864124 | C2 | semidirect |
| 3. #16863747 | C2 | semidirect |
| 4. #16863745 | C2 | semidirect |
| 5. #16863681 | C2 | semidirect |
| 6. #16863680 | C2 | semidirect |
| 9. C8×Dic134 | C2 | semidirect |
| 95. Dic134 | SD16 | semidirect |
| 119. C67 | #3359 | semidirect |