Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
264 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 7. C22⋊(C71⋊C8) | C4 | semidirect |
| 13. C22⋊C8×C71 | C4 | semidirect |
| 18. C22×Dic71 | C8 | semidirect |
| 86. C71 | #1280 | semidirect |
| 97. C22⋊C8 | Dic71 | semidirect |