Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
448 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 145 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. #17986556 | C2 | semidirect |
| 2. #17986329 | C2 | semidirect |
| 3. #17986289 | C2 | semidirect |
| 4. #17986204 | C2 | semidirect |
| 6. C4×#11765853 | C2 | semidirect |
| 7. #17986052 | C2 | semidirect |
| 10. #14556128 | C22 | semidirect |
| 11. #14556128 | C22 | semidirect |
| 16. C4×Dic142 | C22 | semidirect |
| 18. #14556059 | C22 | semidirect |
| 19. C4⋊(C71⋊C8) | C22 | semidirect |
| 20. #14556051 | C22 | semidirect |
| 23. C4×C71⋊C8 | C22 | semidirect |
| 78. C2×C4×C71 | SD16 | semidirect |
| 113. C71 | #3101 | semidirect |
| 195. C2×C4 | #11765853 | semidirect |