Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
312 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 87 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. #17986022 | C2 | semidirect |
| 5. C4×Dic71⋊C4 | C2 | semidirect |
| 6. #17985758 | C2 | semidirect |
| 7. #339×C71 | C2 | semidirect |
| 10. #14556093 | C4 | semidirect |
| 11. #14556093 | C4 | semidirect |
| 12. #14556090 | C4 | semidirect |
| 13. #14556090 | C4 | semidirect |
| 95. D284 | C4⋊C4 | semidirect |
| 101. Dic142 | C4⋊C4 | semidirect |
| 124. Dic71 | #104 | semidirect |
| 132. C71 | #1806 | semidirect |
| 139. #339 | D71 | semidirect |