Finite Group DatabasebetaFinite Group DatabasebetaOrder 9536.
190 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 2. C2×#14558719 | C2 | semidirect |
| 3. C22⋊#11924746 | C2 | semidirect |
| 4. #18011823 | C2 | semidirect |
| 5. C22⋊C8×C149 | C2 | semidirect |
| 14. C2×#11924746 | C22 | semidirect |
| 16. C2×C8×C149 | C22 | semidirect |
| 37. C22×C149 | M16 | semidirect |
| 45. C2×D149 | M16 | semidirect |
| 56. C149 | #407 | semidirect |
| 62. C22⋊C8 | D149 | semidirect |
| 73. C2×C8 | C2×D149 | semidirect |
| 101. C22 | #14558719 | semidirect |