Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
340 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16863801 | C2 | semidirect |
| 3. #16863736 | C2 | semidirect |
| 4. #16863681 | C2 | semidirect |
| 5. #16863634 | C2 | semidirect |
| 7. #16863433 | C2 | semidirect |
| 8. C4×Q16×C67 | C2 | semidirect |
| 83. C67 | #3342 | semidirect |
| 89. C4×Q16 | D67 | semidirect |