Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
384 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17986734 | C2 | semidirect |
| 2. #17986361 | C2 | semidirect |
| 3. #17986347 | C2 | semidirect |
| 4. #17986286 | C2 | semidirect |
| 5. #17986281 | C2 | semidirect |
| 6. #17986214 | C2 | semidirect |
| 8. #17986130 | C2 | semidirect |
| 9. #17986109 | C2 | semidirect |
| 10. C4×#11765853 | C2 | semidirect |
| 11. D4×Q8×C71 | C2 | semidirect |
| 125. C71 | #3373 | semidirect |
| 127. D4×Q8 | D71 | semidirect |