Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
364 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 364 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 |
|---|---|---|
| 1. #17986714 | C2 | semidirect |
| 2. #17986404 | C2 | semidirect |
| 3. #17986321 | C2 | semidirect |
| 4. #17986289 | C2 | semidirect |
| 5. #17986232 | C2 | semidirect |
| 6. C8×D284 | C2 | semidirect |
| 7. #17986036 | C2 | semidirect |
| 8. C4×D8×C71 | C2 | semidirect |
| 88. C71 | #3341 | semidirect |
| 94. C4×D8 | D71 | semidirect |