Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
704 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 209 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. #17986765 | C2 | semidirect |
| 3. #17985983 | C2 | semidirect |
| 4. #17985980 | C2 | semidirect |
| 5. C2×#14556046 | C2 | semidirect |
| 6. #101×D71 | C2 | semidirect |
| 7. #413×C71 | C2 | semidirect |
| 115. C71 | #2889 | semidirect |
| 120. #413 | D71 | semidirect |