Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
738 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 153 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. C22×Q8×D71 | C2 | semidirect |
| 2. C2×#14556161 | C2 | semidirect |
| 3. C2×#14556159 | C2 | semidirect |
| 5. #17986156 | C2 | semidirect |
| 6. #17986139 | C2 | semidirect |
| 7. #17986007 | C2 | semidirect |
| 8. #17985962 | C2 | semidirect |
| 9. #419×C71 | C2 | semidirect |
| 21. C2×Dic284 | C22 | semidirect |
| 22. C2×#11765855 | C22 | semidirect |
| 23. C2×#11765854 | C22 | semidirect |
| 24. C2×#11765852 | C22 | semidirect |
| 31. #14556051 | C22 | semidirect |
| 36. #103×C71 | C22 | semidirect |
| 44. C2×Dic142 | D4 | semidirect |
| 73. C2×Q8×C71 | D4 | semidirect |
| 127. C2×D71 | #137 | semidirect |
| 142. C71 | #3004 | semidirect |
| 150. #419 | D71 | semidirect |
| 177. #103 | C2×D71 | semidirect |
| 194. C2×Q8 | D284 | semidirect |