Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 428 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. C2×#14524041 | C2 | semidirect |
| 3. #16863767 | C2 | semidirect |
| 4. #16863745 | C2 | semidirect |
| 5. #16863600 | C2 | semidirect |
| 6. #16863599 | C2 | semidirect |
| 7. #16863537 | C2 | semidirect |
| 8. #16863535 | C2 | semidirect |
| 9. #16863534 | C2 | semidirect |
| 10. #16863446 | C2 | semidirect |
| 11. #448×C67 | C2 | semidirect |
| 107. C2×Dic67 | SD16 | semidirect |
| 147. C67 | #3206 | semidirect |
| 157. #448 | D67 | semidirect |