Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
162 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 162 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. C2×#14268630 | C2 | semidirect |
| 3. C4⋊C4×D113 | C2 | semidirect |
| 4. #16813546 | C2 | semidirect |
| 5. #16813544 | C2 | semidirect |
| 6. #16813542 | C2 | semidirect |
| 7. #103×C113 | C2 | semidirect |
| 9. #14268648 | C4 | semidirect |
| 25. Q8×C113 | C2×C4 | semidirect |
| 33. D452 | C2×C4 | semidirect |
| 58. C113 | #417 | semidirect |
| 64. #103 | D113 | semidirect |
| 84. Q8 | C4×D113 | semidirect |