Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
488 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14524035 | C2 | semidirect |
| 3. #16863761 | C2 | direct (N × H) |
| 4. C2×#14523965 | C2 | semidirect |
| 5. C2×#97×C67 | C2 | semidirect |
| 11. #14524035 | C22 | semidirect |
| 14. #14523965 | C22 | semidirect |
| 17. #97×C67 | C22 | semidirect |
| 59. C2×C67 | #490 | semidirect |
| 64. C67 | C2×#490 | semidirect |
| 69. C2×#97 | D67 | semidirect |
| 81. #97 | C2×D67 | semidirect |
| 124. C2 | #16863761 | direct (N × H) |