Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
616 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 205 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×D4×Dic71 | C2 | semidirect |
| 3. C2×#14556090 | C2 | semidirect |
| 4. #17986079 | C2 | direct (N × H) |
| 5. C2×#14556061 | C2 | semidirect |
| 6. C2×#14556050 | C2 | semidirect |
| 7. C2×C8×Dic71 | C2 | semidirect |
| 8. C2×#102×C71 | C2 | semidirect |
| 12. C2×#11765850 | C4 | semidirect |
| 16. D4×Dic71 | C22 | semidirect |
| 18. #14556090 | C22 | semidirect |
| 23. #14556061 | C22 | semidirect |
| 24. #14556050 | C22 | semidirect |
| 25. C8×Dic71 | C22 | semidirect |
| 29. #102×C71 | C22 | semidirect |
| 33. C2×D284 | C2×C4 | semidirect |
| 42. #11765850 | C2×C4 | semidirect |
| 43. C2×C71⋊C8 | C2×C4 | semidirect |
| 54. C2×D4×C71 | C2×C4 | semidirect |
| 73. D4×C71 | C22×C4 | semidirect |
| 84. C2×Dic71 | D8 | semidirect |
| 89. D284 | C22×C4 | semidirect |
| 92. C71⋊C8 | C22×C4 | semidirect |
| 111. Dic71 | C2×D8 | semidirect |
| 113. C2×C71 | C4×D8 | semidirect |
| 119. C71 | C2×C4×D8 | semidirect |
| 126. C2×#102 | D71 | semidirect |
| 147. #102 | C2×D71 | semidirect |
| 157. C2×D4 | C4×D71 | semidirect |
| 195. D4 | C2×C4×D71 | semidirect |
| 233. C2 | #17986079 | direct (N × H) |