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×#14524073 | C2 | semidirect |
| 2. D4×Dic134 | C2 | semidirect |
| 3. #16863775 | C2 | semidirect |
| 4. #16863652 | C2 | semidirect |
| 5. #16863603 | C2 | semidirect |
| 6. #16863601 | C2 | semidirect |
| 7. #16863558 | C2 | semidirect |
| 8. #16863551 | C2 | semidirect |
| 9. C4×#11761616 | C2 | semidirect |
| 10. #16863474 | C2 | semidirect |
| 52. #11761616 | D4 | semidirect |
| 123. C4×C67 | #137 | semidirect |
| 135. C67 | #3276 | semidirect |
| 261. C4 | #14524073 | semidirect |