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. C2×#14556093 | C2 | semidirect |
| 4. #17986305 | C2 | semidirect |
| 5. #17986224 | C2 | semidirect |
| 6. #17986154 | C2 | semidirect |
| 8. #17986103 | C2 | semidirect |
| 9. #17986098 | C2 | semidirect |
| 10. #17986053 | C2 | semidirect |
| 11. #484×C71 | C2 | semidirect |
| 132. C71 | #3117 | semidirect |
| 135. #484 | D71 | semidirect |