Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
132 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 45 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 |
|---|---|---|
| 3. #16863223 | C2 | semidirect |
| 4. #16863222 | C2 | semidirect |
| 5. #16863200 | C2 | semidirect |
| 7. #358×C67 | C2 | semidirect |
| 66. C67 | #2237 | semidirect |
| 72. #358 | D67 | semidirect |