Finite Group DatabasebetaFinite Group DatabasebetaOrder 9536.
108 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 108 conjugacy classes of subgroups — too many to draw. Only its 37 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. #18011936 | C2 | semidirect |
| 2. C2×#14558721 | C2 | semidirect |
| 3. #18011918 | C2 | semidirect |
| 4. #18011846 | C2 | semidirect |
| 5. #18011828 | C2 | semidirect |
| 6. #18011827 | C2 | semidirect |
| 7. AGL(1,ℤ/8)×C149 | C2 | semidirect |
| 53. C149 | #472 | semidirect |
| 56. AGL(1,ℤ/8) | D149 | semidirect |