Finite Group DatabasebetaFinite Group DatabasebetaOrder 9536.
218 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 93 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. #18011906 | C2 | semidirect |
| 2. #18011904 | C2 | semidirect |
| 3. #18011901 | C2 | semidirect |
| 4. #18011901 | C2 | semidirect |
| 5. #18011896 | C2 | semidirect |
| 6. #18011894 | C2 | semidirect |
| 7. #18011893 | C2 | semidirect |
| 8. #18011893 | C2 | semidirect |
| 9. #18011887 | C2 | semidirect |
| 10. #18011887 | C2 | semidirect |
| 12. #18011873 | C2 | semidirect |
| 13. C4×C22⋊D149 | C2 | semidirect |
| 14. C4⋊C4×D149 | C2 | semidirect |
| 15. C22⋊Q8×C149 | C2 | semidirect |
| 103. C149 | #539 | semidirect |
| 115. C22⋊Q8 | D149 | semidirect |