Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
374 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 133 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. Q8×D284 | C2 | semidirect |
| 2. #17986409 | C2 | semidirect |
| 3. #17986395 | C2 | semidirect |
| 4. #17986296 | C2 | semidirect |
| 5. #17986289 | C2 | semidirect |
| 6. #17986286 | C2 | semidirect |
| 7. #17986279 | C2 | semidirect |
| 8. #17986130 | C2 | semidirect |
| 11. #554×C71 | C2 | semidirect |
| 47. #11765850 | Q8 | semidirect |
| 78. D4×C71 | C2×Q8 | semidirect |
| 98. C71⋊C8 | C2×Q8 | semidirect |
| 122. C71 | #3384 | semidirect |
| 123. #554 | D71 | semidirect |
| 204. D4 | Q8×D71 | semidirect |