Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
436 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 137 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. #17986549 | C2 | semidirect |
| 2. #17986279 | C2 | semidirect |
| 3. #17986276 | C2 | semidirect |
| 4. #17986233 | C2 | semidirect |
| 5. #17986194 | C2 | semidirect |
| 6. #17986191 | C2 | semidirect |
| 7. C2×C4⋊(C71⋊C8) | C2 | semidirect |
| 8. #532×C71 | C2 | semidirect |
| 79. C2×C4×C71 | D8 | semidirect |
| 121. C71 | #3245 | semidirect |
| 123. #532 | D71 | semidirect |
| 208. C2×C4 | #11765850 | semidirect |