Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
158 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 59 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. #16813581 | C2 | semidirect |
| 3. #16813536 | C2 | semidirect |
| 4. #117×C113 | C2 | semidirect |
| 9. C2×Dic226 | C4 | semidirect |
| 10. C2×D452 | C4 | semidirect |
| 12. C2×C4×D113 | C4 | semidirect |
| 57. C113 | #410 | semidirect |
| 61. #117 | D113 | semidirect |