Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
342 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 342 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 |
|---|---|---|
| 2. #16863681 | C2 | semidirect |
| 3. #16863678 | C2 | semidirect |
| 5. #16863606 | C2 | semidirect |
| 6. #16863603 | C2 | semidirect |
| 105. C67 | #3255 | semidirect |