Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
154 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 57 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. C2×Dic536 | C2 | semidirect |
| 3. #16863222 | C2 | semidirect |
| 4. #16863201 | C2 | semidirect |
| 42. C22×C67 | Q32 | semidirect |
| 54. C67 | #2216 | semidirect |
| 96. C22 | Dic536 | semidirect |