Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
188 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 51 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. C2×#14268635 | C2 | semidirect |
| 2. #16813601 | C2 | semidirect |
| 3. #16813543 | C2 | semidirect |
| 4. C22⋊#11744751 | C2 | semidirect |
| 6. C2×Dic226 | C22 | semidirect |
| 8. C2×#11744751 | C22 | semidirect |
| 9. C4⋊Dic113 | C22 | semidirect |
| 38. C22×C113 | SD16 | semidirect |
| 49. C113 | #450 | semidirect |
| 88. C22 | #14268635 | semidirect |