Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
380 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 157 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. #16863802 | C2 | semidirect |
| 3. #16863799 | C2 | semidirect |
| 4. #16863792 | C2 | semidirect |
| 31. #11761612 | Q8 | semidirect |
| 74. C67⋊C8 | C2×Q8 | semidirect |
| 93. C67 | #3165 | semidirect |