Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
132 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 51 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. C4×D452 | C2 | semidirect |
| 3. #16813553 | C2 | semidirect |
| 4. #16813543 | C2 | semidirect |
| 5. #16813542 | C2 | semidirect |
| 6. #16813533 | C2 | semidirect |
| 7. C4×D4×C113 | C2 | semidirect |
| 10. #14268632 | C4 | semidirect |
| 23. D4×C113 | C2×C4 | semidirect |
| 31. D452 | C2×C4 | semidirect |
| 34. #11744751 | C2×C4 | semidirect |
| 53. C113 | #442 | semidirect |
| 57. C4×D4 | D113 | semidirect |
| 79. D4 | C4×D113 | semidirect |