Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
480 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 165 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. #17986287 | C2 | direct (N × H) |
| 4. C2×#14556060 | C2 | semidirect |
| 5. C2×#14556059 | C2 | semidirect |
| 6. C2×Dic71⋊C8 | C2 | semidirect |
| 13. #14556127 | C22 | semidirect |
| 21. #14556060 | C22 | semidirect |
| 22. #14556059 | C22 | semidirect |
| 23. Dic71⋊C8 | C22 | semidirect |
| 50. C2×D4×C71 | Q8 | semidirect |
| 65. D4×C71 | C2×Q8 | semidirect |
| 101. C2×C71 | #476 | semidirect |
| 106. C71 | C2×#476 | semidirect |
| 140. C2×D4 | Dic142 | semidirect |
| 172. D4 | C2×Dic142 | semidirect |
| 207. C2 | #17986287 | direct (N × H) |