Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
1160 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 1160 conjugacy classes of subgroups — too many to draw. Only its 229 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×C22⋊C4×D37 | C2 | semidirect |
| 3. #14557409 | C2 | semidirect |
| 4. #14557394 | C2 | semidirect |
| 5. #14557389 | C2 | semidirect |
| 6. C37×#379 | C2 | semidirect |
| 9. C22×C22⋊D37 | C4 | semidirect |
| 12. C22×C4×D37 | C22 | semidirect |
| 14. C2×C22⋊Dic37 | C22 | semidirect |
| 15. C2×#10596938 | C22 | semidirect |
| 17. #11924443 | C22 | semidirect |
| 20. C2×C22⋊C4×C37 | C22 | semidirect |
| 23. C24×C37 | C2×C4 | semidirect |
| 34. C2×C22⋊D37 | C2×C4 | semidirect |
| 36. C22×Dic37 | C2×C4 | semidirect |
| 60. C22×D37 | C22⋊C4 | semidirect |
| 104. #379 | D37 | semidirect |
| 105. C37 | #2308 | semidirect |
| 118. C2×C22⋊C4 | C2×D37 | semidirect |
| 126. C24 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C22⋊D37 | 2 |
| C2×C22⋊C4×D37 | 2 |
| #14557409 | 2 |
| #14557394 | 2 |
| #14557389 | 2 |
| C37×#379 | 2 |
| #2308 | 37 |