Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
290 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 67 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. C2×#14523969 | C2 | semidirect |
| 3. #16863398 | C2 | semidirect |
| 4. #16863261 | C2 | semidirect |
| 5. #343×C67 | C2 | semidirect |
| 33. C4×Dic67 | D4 | semidirect |
| 85. C67 | #2040 | semidirect |
| 90. #343 | D67 | semidirect |