Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 123 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. D4×Dic142 | C2 | semidirect |
| 2. #17986351 | C2 | semidirect |
| 3. #17986340 | C2 | semidirect |
| 4. #17986291 | C2 | semidirect |
| 5. #17986243 | C2 | semidirect |
| 6. #17986204 | C2 | semidirect |
| 7. #17986137 | C2 | semidirect |
| 8. C4×#11765853 | C2 | semidirect |
| 9. #17986077 | C2 | semidirect |
| 10. #17986007 | C2 | semidirect |
| 127. C71 | #3329 | semidirect |