Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 2. Q8×D284 | C2 | semidirect |
| 3. #17986350 | C2 | semidirect |
| 4. #17986343 | C2 | semidirect |
| 5. #17986294 | C2 | semidirect |
| 6. #17986244 | C2 | semidirect |
| 7. #17986204 | C2 | semidirect |
| 8. #17986136 | C2 | semidirect |
| 9. #17986078 | C2 | semidirect |
| 10. #17986006 | C2 | semidirect |
| 11. C4×SD16×C71 | C2 | semidirect |
| 127. C71 | #3329 | semidirect |
| 136. C4×SD16 | D71 | semidirect |