Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
738 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 143 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×#14556160 | C2 | semidirect |
| 4. #17986154 | C2 | semidirect |
| 5. #17986153 | C2 | semidirect |
| 6. #17986140 | C2 | semidirect |
| 7. #17986139 | C2 | semidirect |
| 8. #17986138 | C2 | semidirect |
| 9. #17986006 | C2 | semidirect |
| 10. #17985961 | C2 | semidirect |
| 11. #451×C71 | C2 | semidirect |
| 23. C2×#11765855 | C22 | semidirect |
| 24. C2×#11765854 | C22 | semidirect |
| 25. C2×#11765852 | C22 | semidirect |
| 35. #14556053 | C22 | semidirect |
| 36. #14556052 | C22 | semidirect |
| 37. #14556051 | C22 | semidirect |
| 41. C2×Q16×C71 | C22 | semidirect |
| 43. #103×C71 | C22 | semidirect |
| 58. Q8×D71 | D4 | semidirect |
| 141. C22×C71 | #137 | semidirect |
| 152. C2×D71 | #137 | semidirect |
| 170. C71 | #3004 | semidirect |
| 176. #451 | D71 | semidirect |
| 195. C2×Q16 | C2×D71 | semidirect |
| 211. #103 | C2×D71 | semidirect |
| 321. C22 | #14556160 | semidirect |