Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
138 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 138 conjugacy classes of subgroups — too many to draw. Only its 47 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. #16863797 | C2 | semidirect |
| 3. #16863200 | C2 | semidirect |
| 6. C16×Dic67 | C2 | semidirect |
| 7. #358×C67 | C2 | semidirect |
| 67. C67 | #2242 | semidirect |
| 71. #358 | D67 | semidirect |