Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#14556127 | C2 | semidirect |
| 3. #17986293 | C2 | semidirect |
| 4. #17986288 | C2 | semidirect |
| 5. #17986283 | C2 | semidirect |
| 6. #17986278 | C2 | semidirect |
| 7. #17986042 | C2 | semidirect |
| 8. #17986022 | C2 | semidirect |
| 11. #428×C71 | C2 | semidirect |
| 44. #11765865 | Q8 | semidirect |
| 104. D284 | C2×Q8 | semidirect |
| 111. Dic142 | C2×Q8 | semidirect |
| 139. C71 | #3079 | semidirect |
| 147. #428 | D71 | semidirect |