Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
402 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 129 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. #16863799 | C2 | semidirect |
| 3. #16863768 | C2 | semidirect |
| 4. #16863748 | C2 | semidirect |
| 5. #16863742 | C2 | semidirect |
| 6. #16863640 | C2 | semidirect |
| 7. #16863496 | C2 | semidirect |
| 8. C4×#11761612 | C2 | semidirect |
| 90. C67⋊C8 | #41 | semidirect |
| 113. C67 | #3182 | semidirect |