Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
412 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 162 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. #14558558 | C2 | semidirect |
| 2. #14558557 | C2 | semidirect |
| 3. D37⋊(C4⋊C8) | C2 | semidirect |
| 5. #14558492 | C2 | semidirect |
| 6. C4×D37⋊C8 | C2 | semidirect |
| 10. #11924603 | C22 | semidirect |
| 11. C4⋊#64438 | C22 | semidirect |
| 14. #11924591 | C22 | semidirect |
| 15. C4×#64438 | C22 | semidirect |
| 99. D37 | #433 | semidirect |
| 107. C37 | C2×#433 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558558 | 2 |
| #14558557 | 2 |
| D37⋊(C4⋊C8) | 2 |
| D37⋊(C22⋊C8) | 2 |
| #14558492 | 2 |
| C4×D37⋊C8 | 2 |
| #117×D37 | 2 |
| C2×#433 | 37 |