Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 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. #17986653 | C2 | semidirect |
| 2. #17986402 | C2 | semidirect |
| 3. #17986312 | C2 | semidirect |
| 4. #17986310 | C2 | semidirect |
| 5. #17986279 | C2 | semidirect |
| 6. #17986276 | C2 | semidirect |
| 7. #17986233 | C2 | semidirect |
| 8. C4×#11765850 | C2 | semidirect |
| 9. D4×C71⋊C8 | C2 | semidirect |
| 10. C2×#14556061 | C2 | semidirect |
| 11. #547×C71 | C2 | semidirect |
| 82. D4×C71 | D8 | semidirect |
| 103. C71⋊C8 | #41 | semidirect |
| 130. C71 | #3334 | semidirect |
| 132. #547 | D71 | semidirect |
| 216. D4 | #11765850 | semidirect |