Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
284 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 91 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×#14556038 | C2 | semidirect |
| 5. #17985898 | C2 | semidirect |
| 6. #17985761 | C2 | semidirect |
| 7. #340×C71 | C2 | semidirect |
| 16. #14556048 | C4 | semidirect |
| 119. C71 | #1936 | semidirect |
| 126. #340 | D71 | semidirect |