Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
362 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 103 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×#14523977 | C2 | semidirect |
| 5. #16863294 | C2 | semidirect |
| 6. #16863159 | C2 | semidirect |
| 7. #336×C67 | C2 | semidirect |
| 19. #14523965 | C4 | semidirect |
| 41. C4⋊Dic67 | C2×C4 | semidirect |
| 53. C2×C8×C67 | C2×C4 | semidirect |
| 88. D268 | C4⋊C4 | semidirect |
| 124. C67 | #1862 | semidirect |
| 131. #336 | D67 | semidirect |
| 169. C2×C8 | C4×D67 | semidirect |