Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
340 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 2. #17986404 | C2 | semidirect |
| 3. #17986339 | C2 | semidirect |
| 4. #17986284 | C2 | semidirect |
| 5. #17986237 | C2 | semidirect |
| 7. #17986036 | C2 | semidirect |
| 8. C4×Q16×C71 | C2 | semidirect |
| 83. C71 | #3342 | semidirect |
| 89. C4×Q16 | D71 | semidirect |