Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
492 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 221 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. #17986477 | C2 | semidirect |
| 3. #17986100 | C2 | semidirect |
| 4. SD16×Dic71 | C2 | semidirect |
| 5. #17986037 | C2 | semidirect |
| 6. #17986008 | C2 | semidirect |
| 8. #17985954 | C2 | semidirect |
| 12. Q8×Dic71 | C22 | semidirect |
| 20. #14556062 | C22 | semidirect |
| 21. #14556060 | C22 | semidirect |
| 22. #14556052 | C22 | semidirect |
| 24. #14556038 | C22 | semidirect |
| 25. C8×Dic71 | C22 | semidirect |
| 28. C2×SD16×C71 | C4 | semidirect |
| 50. C2×Q8×C71 | C2×C4 | semidirect |
| 58. SD16×C71 | C2×C4 | semidirect |
| 59. SD16×C71 | C2×C4 | semidirect |
| 60. C2×C8×C71 | C2×C4 | semidirect |
| 104. C71 | #2949 | semidirect |
| 116. C2×SD16 | Dic71 | semidirect |
| 139. C2×Q8 | C2×Dic71 | semidirect |
| 148. SD16 | C2×Dic71 | semidirect |
| 149. SD16 | C2×Dic71 | semidirect |
| 152. C2×C8 | C2×Dic71 | semidirect |