Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
272 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 1. #17986056 | C2 | semidirect |
| 2. #17985845 | C2 | semidirect |
| 3. #17985733 | C2 | semidirect |
| 12. C4⋊Q8×C71 | C4 | semidirect |
| 13. #127×C71 | C4 | semidirect |
| 18. C4×D4×C71 | C4 | semidirect |
| 84. C71 | #1505 | semidirect |
| 90. C4⋊Q8 | Dic71 | semidirect |
| 91. #127 | Dic71 | semidirect |
| 96. C4×D4 | Dic71 | semidirect |