Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
412 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 412 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 |
|---|---|---|
| 1. C2×#14524034 | C2 | semidirect |
| 3. #16863752 | C2 | direct (N × H) |
| 4. C2×#14523967 | C2 | semidirect |
| 7. C2×C8×Dic67 | C2 | semidirect |
| 8. C2×#103×C67 | C2 | semidirect |
| 12. #14524034 | C22 | semidirect |
| 21. #14523967 | C22 | semidirect |
| 24. C8×Dic67 | C22 | semidirect |
| 28. #103×C67 | C22 | semidirect |
| 101. C2×C67 | #488 | semidirect |
| 107. C67 | C2×#488 | semidirect |
| 112. C2×#103 | D67 | semidirect |
| 132. #103 | C2×D67 | semidirect |
| 209. C2 | #16863752 | direct (N × H) |