Finite Group DatabasebetaFinite Group DatabasebetaOrder 9536.
104 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 40 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. #18011999 | C2 | semidirect |
| 2. #18011998 | C2 | semidirect |
| 3. #18011982 | C2 | semidirect |
| 4. #18011976 | C2 | semidirect |
| 5. #18011975 | C2 | semidirect |
| 6. #18011965 | C2 | semidirect |
| 18. #14558726 | C4 | semidirect |
| 19. #14558725 | C4 | semidirect |
| 20. #14558721 | C4 | semidirect |
| 22. SD16×C149 | C4 | semidirect |
| 51. C149 | #444 | semidirect |
| 64. SD16 | #10597010 | semidirect |