Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
230 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 77 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×C4×C67⋊C8 | C2 | semidirect |
| 3. #16863126 | C2 | semidirect |
| 4. #16863123 | C2 | semidirect |
| 5. #432×C67 | C2 | semidirect |
| 91. C67 | #1494 | semidirect |
| 93. #432 | D67 | semidirect |