Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
360 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 360 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 |
| 3. C2×#14556056 | C2 | semidirect |
| 4. C2×#14556055 | C2 | semidirect |
| 5. C2×#14556054 | C2 | semidirect |
| 6. C42×Dic71 | C2 | semidirect |
| 7. C2×#104×C71 | C2 | semidirect |
| 10. #14556126 | C4 | semidirect |
| 11. #14556124 | C4 | semidirect |
| 12. #14556117 | C4 | semidirect |
| 13. #14556115 | C4 | semidirect |
| 49. C4×Dic71 | D4 | semidirect |
| 64. C42×C71 | D4 | semidirect |
| 119. Dic71 | #104 | semidirect |
| 127. C71 | #1962 | semidirect |
| 133. C2×#104 | D71 | semidirect |
| 191. C42 | C22⋊D71 | semidirect |