Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
160 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 61 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. #17986404 | C2 | semidirect |
| 3. #17985801 | C2 | semidirect |
| 4. C4×C16×C71 | C2 | semidirect |
| 51. C71 | #2240 | semidirect |
| 55. C4×C16 | D71 | semidirect |