Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
564 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×Dic268 | C2 | semidirect |
| 2. C22×#11761618 | C2 | semidirect |
| 4. C2×#14524041 | C2 | semidirect |
| 6. #16863787 | C2 | direct (N × H) |
| 7. C2×#14523953 | C2 | semidirect |
| 12. C2×Dic268 | C22 | semidirect |
| 14. C2×#11761618 | C22 | semidirect |
| 19. #14524041 | C22 | semidirect |
| 25. #14523953 | C22 | semidirect |
| 109. C2×C67 | #497 | semidirect |
| 113. C67 | C2×#497 | semidirect |
| 222. C2 | #16863787 | direct (N × H) |