Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
488 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 213 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. #16863450 | C2 | direct (N × H) |
| 3. C2×Dic67⋊C8 | C2 | semidirect |
| 5. C2×#14523953 | C2 | semidirect |
| 16. Dic67⋊C8 | C22 | semidirect |
| 18. #14523953 | C22 | semidirect |
| 86. C2×C67 | #432 | semidirect |
| 91. C67 | C2×#432 | semidirect |
| 177. C2 | #16863450 | direct (N × H) |