Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
162 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 63 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×C4⋊Dic113 | C2 | semidirect |
| 3. #16813547 | C2 | semidirect |
| 4. #16813544 | C2 | semidirect |
| 5. C2×M16×C113 | C2 | semidirect |
| 7. #14268647 | C4 | semidirect |
| 29. D452 | C2×C4 | semidirect |
| 32. Dic226 | C2×C4 | semidirect |
| 51. C113 | #417 | semidirect |
| 54. C2×M16 | D113 | semidirect |