Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
572 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 165 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×#14556161 | C2 | semidirect |
| 2. C2×#14556156 | C2 | semidirect |
| 3. #17986549 | C2 | semidirect |
| 4. C2×#14556116 | C2 | semidirect |
| 5. #17986393 | C2 | semidirect |
| 6. #17986388 | C2 | semidirect |
| 7. #17986383 | C2 | semidirect |
| 8. C4×M16×C71 | C2 | semidirect |
| 14. C2×Dic284 | C22 | semidirect |
| 16. C2×#11765854 | C22 | semidirect |
| 18. #14556128 | C22 | semidirect |
| 19. #14556125 | C22 | semidirect |
| 23. #14556116 | C22 | semidirect |
| 29. #97×C71 | C22 | semidirect |
| 30. C4×C8×C71 | C22 | semidirect |
| 56. M16×C71 | D4 | semidirect |
| 107. C71 | #3153 | semidirect |
| 115. C4×M16 | D71 | semidirect |
| 136. #97 | C2×D71 | semidirect |
| 137. C4×C8 | C2×D71 | semidirect |
| 159. M16 | D284 | semidirect |