Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
114 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 45 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×#14268637 | C2 | semidirect |
| 4. #16813555 | C2 | semidirect |
| 5. #16813546 | C2 | semidirect |
| 6. #16813545 | C2 | semidirect |
| 38. C22×C113 | Q16 | semidirect |
| 51. C113 | #467 | semidirect |
| 90. C22 | #14268637 | semidirect |