Finite Group DatabasebetaFinite Group DatabasebetaOrder 9536.
106 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 45 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. #18011919 | C2 | semidirect |
| 3. #18011918 | C2 | semidirect |
| 4. #18011846 | C2 | semidirect |
| 5. #18011839 | C2 | semidirect |
| 6. C4×#11924746 | C2 | semidirect |
| 7. #104×C149 | C2 | semidirect |
| 9. #14558726 | C4 | semidirect |
| 10. #14558724 | C4 | semidirect |
| 11. #14558723 | C4 | semidirect |
| 12. #14558721 | C4 | semidirect |
| 51. C149 | #443 | semidirect |
| 58. #104 | D149 | semidirect |