Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
418 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 1. #17986734 | C2 | semidirect |
| 2. #17986670 | C2 | semidirect |
| 3. #17986385 | C2 | semidirect |
| 4. #17986376 | C2 | semidirect |
| 5. #17986217 | C2 | semidirect |
| 6. #17986199 | C2 | semidirect |
| 7. #17986194 | C2 | semidirect |
| 8. #17986193 | C2 | semidirect |
| 9. #17986129 | C2 | semidirect |
| 10. #17986110 | C2 | semidirect |
| 11. C4×SD16×C71 | C2 | semidirect |
| 107. C8×C71 | #41 | semidirect |
| 135. C71 | #3399 | semidirect |
| 146. C4×SD16 | D71 | semidirect |
| 243. C8 | #11765865 | semidirect |