Finite Group DatabasebetaFinite Group DatabasebetaOrder 9536.
228 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 105 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. #18011909 | C2 | semidirect |
| 2. #18011901 | C2 | semidirect |
| 3. #18011901 | C2 | semidirect |
| 4. #18011889 | C2 | semidirect |
| 5. #18011889 | C2 | semidirect |
| 6. #18011888 | C2 | semidirect |
| 7. #18011888 | C2 | semidirect |
| 8. #18011887 | C2 | semidirect |
| 9. #18011876 | C2 | semidirect |
| 13. C2×#14558715 | C2 | semidirect |
| 14. C4⋊C4×D149 | C2 | semidirect |
| 15. C22⋊Q8×C149 | C2 | semidirect |
| 54. C22⋊D149 | Q8 | semidirect |
| 101. C149 | #554 | semidirect |
| 111. C22⋊Q8 | D149 | semidirect |