Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
282 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 69 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×#14523979 | C2 | semidirect |
| 3. #16863397 | C2 | semidirect |
| 4. C2×#14523965 | C2 | semidirect |
| 5. C2×#14523959 | C2 | semidirect |
| 6. #16863164 | C2 | semidirect |
| 7. #408×C67 | C2 | semidirect |
| 117. C67 | #2051 | semidirect |
| 123. #408 | D67 | semidirect |