Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 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 |
| 2. #16863755 | C2 | semidirect |
| 3. #16863750 | C2 | semidirect |
| 4. #16863405 | C2 | semidirect |
| 6. C4×#11761612 | C2 | semidirect |
| 9. #14524043 | C22 | semidirect |
| 10. #14524035 | C22 | semidirect |
| 14. #14523967 | C22 | semidirect |
| 16. #14523954 | C22 | semidirect |
| 17. C4×C67⋊C8 | C22 | semidirect |
| 84. C67 | #3140 | semidirect |