Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
436 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 115 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×#14523965 | C2 | semidirect |
| 3. C2×#14523964 | C2 | semidirect |
| 4. C2×#14523963 | C2 | semidirect |
| 5. C2×C8×Dic67 | C2 | semidirect |
| 6. #16863265 | C2 | semidirect |
| 7. C2×#102×C67 | C2 | semidirect |
| 12. #14524039 | C4 | semidirect |
| 38. C2×C67⋊C8 | D4 | semidirect |
| 55. C2×C8×C67 | D4 | semidirect |
| 114. Dic67 | #102 | semidirect |
| 123. C67 | #1957 | semidirect |
| 128. C2×#102 | D67 | semidirect |
| 173. C2×C8 | C22⋊D67 | semidirect |