Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
122 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 55 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. C4×Dic226 | C2 | semidirect |
| 4. #16813554 | C2 | semidirect |
| 5. #16813547 | C2 | semidirect |
| 7. C4×C8×C113 | C2 | semidirect |
| 11. #14268636 | C4 | direct (N × H) |
| 31. Dic226 | C2×C4 | semidirect |
| 33. C8×C113 | C2×C4 | semidirect |
| 39. C4×C113 | SD16 | semidirect |
| 49. C113 | C4×SD16 | semidirect |
| 57. C4×C8 | D113 | semidirect |
| 83. C8 | C4×D113 | semidirect |
| 92. C4 | #14268636 | direct (N × H) |