Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
140 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 41 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×D904 | C2 | semidirect |
| 2. C2×#14268632 | C2 | semidirect |
| 3. #16813618 | C2 | semidirect |
| 4. #16813584 | C2 | semidirect |
| 5. #16813551 | C2 | semidirect |
| 6. #16813542 | C2 | semidirect |
| 7. #102×C113 | C2 | semidirect |
| 35. D452 | D4 | semidirect |
| 53. Dic113 | D8 | semidirect |
| 60. C113 | #459 | semidirect |
| 68. #102 | D113 | semidirect |