Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
120 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 49 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. Q8×Dic113 | C2 | semidirect |
| 4. #16813555 | C2 | semidirect |
| 6. #16813532 | C2 | semidirect |
| 7. #103×C113 | C2 | semidirect |
| 10. #14268634 | C4 | semidirect |
| 22. Q8×C113 | C2×C4 | semidirect |
| 33. #11744751 | C2×C4 | semidirect |
| 49. C113 | #440 | semidirect |
| 55. #103 | D113 | semidirect |
| 72. Q8 | C4×D113 | semidirect |