Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
448 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#11761618 | C2 | semidirect |
| 4. #16863669 | C2 | direct (N × H) |
| 5. C2×#14523978 | C2 | semidirect |
| 6. C2×#14523962 | C2 | semidirect |
| 7. C2×#14523961 | C2 | semidirect |
| 16. C2×#11761618 | C22 | semidirect |
| 25. #14523978 | C22 | semidirect |
| 26. #14523962 | C22 | semidirect |
| 27. #14523961 | C22 | semidirect |
| 131. C2×C67 | #473 | semidirect |
| 134. C67 | C2×#473 | semidirect |
| 265. C2 | #16863669 | direct (N × H) |