Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
216 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 1. #16863445 | C2 | semidirect |
| 2. #16863444 | C2 | semidirect |
| 3. #16863444 | C2 | semidirect |
| 6. C67⋊#338 | C2 | semidirect |
| 86. C67 | #2069 | semidirect |