Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
584 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 137 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×#14556156 | C2 | semidirect |
| 2. C2×#14556154 | C2 | semidirect |
| 3. C2×#14556124 | C2 | semidirect |
| 4. #17986467 | C2 | semidirect |
| 5. #17986198 | C2 | semidirect |
| 6. #17986193 | C2 | semidirect |
| 7. #17986022 | C2 | semidirect |
| 8. #17986003 | C2 | semidirect |
| 9. #418×C71 | C2 | semidirect |
| 15. C2×#11765854 | C22 | semidirect |
| 16. C2×#11765853 | C22 | semidirect |
| 17. C2×D568 | C22 | semidirect |
| 18. C2×#11765850 | C22 | semidirect |
| 23. #14556093 | C22 | semidirect |
| 24. #14556090 | C22 | semidirect |
| 29. Dic71⋊C8 | C22 | semidirect |
| 30. #14556048 | C22 | semidirect |
| 34. #102×C71 | C22 | semidirect |
| 37. #11765865 | D4 | semidirect |
| 101. D284 | C2×D4 | semidirect |
| 105. Dic142 | C2×D4 | semidirect |
| 125. Dic71 | AGL(1,ℤ/8) | semidirect |
| 133. C71 | #3038 | semidirect |
| 142. #418 | D71 | semidirect |
| 167. #102 | C2×D71 | semidirect |