Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
284 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 4. #16863354 | C2 | semidirect |
| 5. #16863352 | C2 | semidirect |
| 6. #16863167 | C2 | semidirect |
| 7. #344×C67 | C2 | semidirect |
| 14. C2×#11761611 | C4 | semidirect |
| 16. C2×C8×D67 | C4 | semidirect |
| 18. #14523961 | C4 | semidirect |
| 19. #14523959 | C4 | semidirect |
| 107. C67 | #1757 | semidirect |
| 114. #344 | D67 | semidirect |