Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
162 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 43 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×#14268648 | C2 | semidirect |
| 2. C2×#14268632 | C2 | semidirect |
| 3. #16813593 | C2 | semidirect |
| 4. #16813546 | C2 | semidirect |
| 5. #16813544 | C2 | semidirect |
| 6. #16813534 | C2 | semidirect |
| 7. C2×SD16×C113 | C2 | semidirect |
| 27. Q8×C113 | D4 | semidirect |
| 37. D452 | D4 | semidirect |
| 64. C113 | #449 | semidirect |
| 67. C2×SD16 | D113 | semidirect |
| 92. Q8 | C22⋊D113 | semidirect |