Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
480 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 157 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. #17986288 | C2 | direct (N × H) |
| 4. C2×#14556059 | C2 | semidirect |
| 5. C2×Dic71⋊C8 | C2 | semidirect |
| 8. C2×#106×C71 | C2 | semidirect |
| 14. #14556127 | C22 | semidirect |
| 21. #14556059 | C22 | semidirect |
| 22. Dic71⋊C8 | C22 | semidirect |
| 28. #106×C71 | C22 | semidirect |
| 34. C2×D284 | Q8 | semidirect |
| 79. D284 | C2×Q8 | semidirect |
| 100. C2×C71 | #476 | semidirect |
| 106. C71 | C2×#476 | semidirect |
| 111. C2×#106 | D71 | semidirect |
| 131. #106 | C2×D71 | semidirect |
| 207. C2 | #17986288 | direct (N × H) |