Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
390 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 91 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. C22×Dic268 | C2 | semidirect |
| 4. C2×#14523968 | C2 | semidirect |
| 6. #16863302 | C2 | semidirect |
| 7. #336×C67 | C2 | semidirect |
| 126. C67 | #2015 | semidirect |
| 133. #336 | D67 | semidirect |