Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
334 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 121 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×#14524035 | C2 | semidirect |
| 2. #16863795 | C2 | semidirect |
| 3. #16863750 | C2 | semidirect |
| 4. #16863729 | C2 | semidirect |
| 5. #16863724 | C2 | semidirect |
| 8. #16863703 | C2 | semidirect |
| 9. #16863696 | C2 | semidirect |
| 10. #16863449 | C2 | semidirect |
| 126. C67 | #3232 | semidirect |