Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
342 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 75 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. C22×#11765855 | C2 | semidirect |
| 3. C2×#14556047 | C2 | semidirect |
| 4. C2×#14556046 | C2 | semidirect |
| 6. #17985763 | C2 | semidirect |
| 123. C71 | #2020 | semidirect |