Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
416 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 149 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. #17986291 | C2 | semidirect |
| 3. #17986286 | C2 | semidirect |
| 4. #17986281 | C2 | semidirect |
| 5. #17986276 | C2 | semidirect |
| 6. #17986039 | C2 | semidirect |
| 7. #17986023 | C2 | semidirect |
| 9. C2×C4⋊Q8×C71 | C2 | semidirect |
| 36. #11765865 | Q8 | semidirect |
| 91. D284 | C2×Q8 | semidirect |
| 96. Dic142 | C2×Q8 | semidirect |
| 122. C71 | #3079 | semidirect |
| 123. C2×C4⋊Q8 | D71 | semidirect |