Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
266 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 53 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. C2×D8×D71 | C2 | semidirect |
| 2. C2×D1136 | C2 | semidirect |
| 3. C2×#14556069 | C2 | semidirect |
| 4. #17986236 | C2 | semidirect |
| 5. #17985799 | C2 | semidirect |
| 6. (C2×D71)⋊C16 | C2 | semidirect |
| 7. #357×C71 | C2 | semidirect |
| 10. C2×D568 | C22 | semidirect |
| 18. C2×C71⋊C16 | C22 | semidirect |
| 21. C2×C16×C71 | C22 | semidirect |
| 22. #107×C71 | C22 | semidirect |
| 34. D568 | D4 | semidirect |
| 43. D8×C71 | D4 | semidirect |
| 83. C2×D71 | D16 | semidirect |
| 96. C71 | #2184 | semidirect |
| 102. #357 | D71 | semidirect |
| 116. C2×C16 | C2×D71 | semidirect |
| 117. #107 | C2×D71 | semidirect |
| 134. D8 | D284 | semidirect |