Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
428 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 2. C2×Q8×Dic71 | C2 | semidirect |
| 3. #17986318 | C2 | semidirect |
| 4. #17986315 | C2 | semidirect |
| 5. #17986282 | C2 | semidirect |
| 6. #17986197 | C2 | semidirect |
| 7. #17986138 | C2 | semidirect |
| 8. SD16×Dic71 | C2 | semidirect |
| 9. #17986084 | C2 | semidirect |
| 10. #17986049 | C2 | semidirect |
| 11. #448×C71 | C2 | semidirect |
| 87. Q8×C71 | #41 | semidirect |
| 104. C2×Dic71 | SD16 | semidirect |
| 141. C71 | #3103 | semidirect |
| 149. #448 | D71 | semidirect |
| 229. Q8 | #11765864 | semidirect |