Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
256 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 4. #16863159 | C2 | semidirect |
| 5. #16863158 | C2 | semidirect |
| 6. #16863158 | C2 | semidirect |
| 7. C2×#106×C67 | C2 | semidirect |
| 117. C67 | #2077 | semidirect |
| 118. C2×#106 | D67 | semidirect |