Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
344 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 99 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×#14523968 | C2 | semidirect |
| 3. C2×#14523966 | C2 | semidirect |
| 5. C2×#14523953 | C2 | semidirect |
| 6. #16863265 | C2 | semidirect |
| 11. #14524030 | C4 | semidirect |
| 113. C67 | #1959 | semidirect |