Finite Group DatabasebetaFinite Group DatabasebetaOrder 9536.
198 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 47 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. C22×D596 | C2 | semidirect |
| 2. C2×#14558721 | C2 | semidirect |
| 3. #18011831 | C2 | semidirect |
| 4. C22⋊#11924746 | C2 | semidirect |
| 5. #121×C149 | C2 | semidirect |
| 11. C2×#11924746 | C22 | semidirect |
| 13. C2×D4×C149 | C22 | semidirect |
| 15. C4⋊C4×C149 | C22 | semidirect |
| 23. D596 | D4 | semidirect |
| 38. C22×C149 | D8 | semidirect |
| 53. C149 | #447 | semidirect |
| 57. #121 | D149 | semidirect |
| 65. C2×D4 | C2×D149 | semidirect |
| 69. C4⋊C4 | C2×D149 | semidirect |
| 96. C22 | #14558721 | semidirect |