Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
480 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 3. C2×#14556126 | C2 | semidirect |
| 5. #17986208 | C2 | semidirect |
| 6. #17986203 | C2 | semidirect |
| 7. #17986022 | C2 | semidirect |
| 8. #17986007 | C2 | semidirect |
| 9. #419×C71 | C2 | semidirect |
| 116. Dic71 | #137 | semidirect |
| 122. C71 | #3039 | semidirect |
| 131. #419 | D71 | semidirect |