Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 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. C2×#14524074 | C2 | semidirect |
| 3. #16863775 | C2 | semidirect |
| 4. #16863652 | C2 | semidirect |
| 5. #16863606 | C2 | semidirect |
| 6. #16863598 | C2 | semidirect |
| 7. #16863556 | C2 | semidirect |
| 8. #16863552 | C2 | semidirect |
| 9. C4×#11761615 | C2 | semidirect |
| 10. #16863474 | C2 | semidirect |
| 11. D4×Q8×C67 | C2 | semidirect |
| 53. #11761615 | D4 | semidirect |
| 124. C4×C67 | #137 | semidirect |
| 135. C67 | #3276 | semidirect |
| 137. D4×Q8 | D67 | semidirect |
| 261. C4 | #14524074 | semidirect |