Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
384 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#14556119 | C2 | semidirect |
| 3. #17986309 | C2 | semidirect |
| 4. #17986305 | C2 | semidirect |
| 5. #17986302 | C2 | semidirect |
| 6. #17986298 | C2 | semidirect |
| 7. #17986042 | C2 | semidirect |
| 8. #17986022 | C2 | semidirect |
| 11. #428×C71 | C2 | semidirect |
| 136. C71 | #3080 | semidirect |
| 144. #428 | D71 | semidirect |