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. #41×Dic71 | C2 | semidirect |
| 2. #17986111 | C2 | semidirect |
| 3. #17986106 | C2 | semidirect |
| 4. #17986100 | C2 | semidirect |
| 5. #17986037 | C2 | semidirect |
| 6. #17985995 | C2 | semidirect |
| 7. C2×#14556038 | C2 | semidirect |
| 24. #135×C71 | C4 | semidirect |
| 42. #41×C71 | C2×C4 | semidirect |
| 48. Q16×C71 | C2×C4 | semidirect |
| 49. SD16×C71 | C2×C4 | semidirect |
| 50. D8×C71 | C2×C4 | semidirect |
| 51. C2×C8×C71 | C2×C4 | semidirect |
| 90. C71 | #2943 | semidirect |
| 100. #135 | Dic71 | semidirect |
| 120. #41 | C2×Dic71 | semidirect |
| 128. Q16 | C2×Dic71 | semidirect |
| 129. SD16 | C2×Dic71 | semidirect |
| 130. D8 | C2×Dic71 | semidirect |
| 133. C2×C8 | C2×Dic71 | semidirect |