Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
448 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×Dic268 | C2 | semidirect |
| 4. #16863672 | C2 | direct (N × H) |
| 5. C2×#14523961 | C2 | semidirect |
| 6. C2×#108×C67 | C2 | semidirect |
| 15. C2×Dic268 | C22 | semidirect |
| 22. #14523961 | C22 | semidirect |
| 25. #108×C67 | C22 | semidirect |
| 100. C2×C67 | #473 | semidirect |
| 104. C67 | C2×#473 | semidirect |
| 109. C2×#108 | D67 | semidirect |
| 128. #108 | C2×D67 | semidirect |
| 205. C2 | #16863672 | direct (N × H) |