Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
446 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 446 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×#14556158 | C2 | semidirect |
| 2. C2×#14556158 | C2 | semidirect |
| 3. #17986766 | C2 | semidirect |
| 4. #17986272 | C2 | semidirect |
| 5. #17986260 | C2 | semidirect |
| 6. #17986047 | C2 | semidirect |
| 7. #17985983 | C2 | semidirect |
| 8. C2×#14556046 | C2 | semidirect |
| 16. C2×#11765855 | C22 | semidirect |
| 18. C2×#11765853 | C22 | semidirect |
| 25. #14556063 | C22 | semidirect |
| 26. #14556047 | C22 | semidirect |
| 27. #14556046 | C22 | semidirect |
| 28. #14556045 | C22 | semidirect |
| 143. C71 | #3069 | semidirect |