Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
162 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 4. #16813547 | C2 | semidirect |
| 5. #16813546 | C2 | semidirect |
| 6. #16813545 | C2 | semidirect |
| 7. #103×C113 | C2 | semidirect |
| 11. Q8×D113 | C4 | semidirect |
| 24. Q8×C113 | C2×C4 | semidirect |
| 37. Dic226 | C2×C4 | semidirect |
| 54. D113 | #103 | direct (N × H) |
| 55. C113 | C2×#103 | semidirect |
| 63. #103 | D113 | direct (N × H) |
| 83. Q8 | C4×D113 | semidirect |