Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
152 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 43 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×#14268637 | C2 | semidirect |
| 3. C2×#14268634 | C2 | semidirect |
| 4. #16813545 | C2 | semidirect |
| 5. #16813542 | C2 | semidirect |
| 6. C22⋊#11744751 | C2 | semidirect |
| 7. C22⋊Q8×C113 | C2 | semidirect |
| 60. C113 | #452 | semidirect |
| 65. C22⋊Q8 | D113 | semidirect |