Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 141 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. #17986556 | C2 | semidirect |
| 3. #17986364 | C2 | semidirect |
| 4. #17986346 | C2 | semidirect |
| 5. #17986005 | C2 | semidirect |
| 6. C4×M16×C71 | C2 | semidirect |
| 9. #14556128 | C22 | semidirect |
| 13. #14556120 | C22 | semidirect |
| 17. #14556050 | C22 | semidirect |
| 20. #97×C71 | C22 | semidirect |
| 21. C4×C8×C71 | C22 | semidirect |
| 75. C71 | #3138 | semidirect |
| 81. C4×M16 | D71 | semidirect |
| 95. #97 | C2×D71 | semidirect |
| 96. C4×C8 | C2×D71 | semidirect |