Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 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×#14524051 | C2 | semidirect |
| 3. #16863970 | C2 | semidirect |
| 4. #16863651 | C2 | semidirect |
| 5. #16863639 | C2 | semidirect |
| 6. #16863634 | C2 | semidirect |
| 7. #16863622 | C2 | semidirect |
| 8. #16863438 | C2 | semidirect |
| 9. #16863392 | C2 | semidirect |
| 10. C2×#14523967 | C2 | semidirect |
| 11. C2×#137×C67 | C2 | semidirect |
| 83. M16×C67 | D4 | semidirect |
| 144. C67 | #3063 | semidirect |
| 145. C2×#137 | D67 | semidirect |
| 210. M16 | C22⋊D67 | semidirect |