Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
368 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16863806 | C2 | semidirect |
| 3. #16863762 | C2 | semidirect |
| 4. #16863714 | C2 | semidirect |
| 5. #16863709 | C2 | semidirect |
| 6. #16863693 | C2 | semidirect |
| 7. #16863453 | C2 | semidirect |
| 8. C2×#125×C67 | C2 | semidirect |
| 107. C67 | #3234 | semidirect |
| 109. C2×#125 | D67 | semidirect |