Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
362 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 123 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. #16863788 | C2 | semidirect |
| 4. #16863618 | C2 | semidirect |
| 5. #16863603 | C2 | semidirect |
| 6. #16863598 | C2 | semidirect |
| 8. #16863527 | C2 | semidirect |
| 9. #16863494 | C2 | semidirect |
| 10. C4×#11761618 | C2 | semidirect |
| 11. #557×C67 | C2 | semidirect |
| 122. C67 | #3400 | semidirect |
| 124. #557 | D67 | semidirect |