Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
210 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 49 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. #17986816 | C2 | semidirect |
| 2. #17986437 | C2 | semidirect |
| 3. C2×#14556073 | C2 | semidirect |
| 4. #17986269 | C2 | semidirect |
| 5. #17985816 | C2 | semidirect |
| 6. #17985807 | C2 | semidirect |
| 7. #350×C71 | C2 | semidirect |
| 91. C71 | #2193 | semidirect |
| 98. #350 | D71 | semidirect |