Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
424 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 133 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. #17986312 | C2 | semidirect |
| 3. #17986294 | C2 | semidirect |
| 4. #17986199 | C2 | semidirect |
| 5. #17986138 | C2 | semidirect |
| 6. #17986097 | C2 | semidirect |
| 7. #17986056 | C2 | semidirect |
| 8. C2×C4×Q8×C71 | C2 | semidirect |
| 68. Q8×C71 | #41 | semidirect |
| 112. C71 | #3112 | semidirect |
| 114. C2×C4×Q8 | D71 | semidirect |
| 181. Q8 | #11765865 | semidirect |