Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
320 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 125 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. C4×#11765849 | C2 | semidirect |
| 3. #17985845 | C2 | semidirect |
| 4. #17985758 | C2 | semidirect |
| 8. #14556055 | C4 | semidirect |
| 13. C4×Q8×C71 | C4 | semidirect |
| 15. C4×D4×C71 | C4 | semidirect |
| 22. #11765849 | C2×C4 | semidirect |
| 25. C4×Dic71 | C2×C4 | semidirect |
| 83. C71 | #1759 | semidirect |
| 91. C4×Q8 | Dic71 | semidirect |
| 93. C4×D4 | Dic71 | semidirect |