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×#14556158 | C2 | semidirect |
| 4. #17986153 | C2 | semidirect |
| 5. #17986136 | C2 | semidirect |
| 6. #17986009 | C2 | semidirect |
| 7. #17986008 | C2 | semidirect |
| 8. #17985962 | C2 | semidirect |
| 9. C2×#137×C71 | C2 | semidirect |
| 19. C2×#11765855 | C22 | semidirect |
| 20. C2×#11765853 | C22 | semidirect |
| 28. #14556053 | C22 | semidirect |
| 29. #14556052 | C22 | semidirect |
| 34. C2×Q16×C71 | C22 | semidirect |
| 35. C2×SD16×C71 | C22 | semidirect |
| 42. C2×Dic142 | D4 | semidirect |
| 70. C2×Q8×C71 | D4 | semidirect |
| 127. C2×D71 | #137 | semidirect |
| 142. C71 | #3004 | semidirect |
| 145. C2×#137 | D71 | semidirect |
| 165. C2×Q16 | C2×D71 | semidirect |
| 167. C2×SD16 | C2×D71 | semidirect |
| 193. C2×Q8 | C22⋊D71 | semidirect |