Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
402 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16863953 | C2 | semidirect |
| 3. #16863801 | C2 | semidirect |
| 4. #16863769 | C2 | semidirect |
| 5. #16863747 | C2 | semidirect |
| 6. #16863743 | C2 | semidirect |
| 7. #16863642 | C2 | semidirect |
| 8. #16863498 | C2 | semidirect |
| 9. C4×M16×C67 | C2 | semidirect |
| 90. C8×C67 | #41 | semidirect |
| 113. C67 | #3182 | semidirect |
| 122. C4×M16 | D67 | semidirect |
| 203. C8 | #11761628 | semidirect |