Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
300 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14557488 | C2 | semidirect |
| 5. #14557298 | C2 | semidirect |
| 6. #14557293 | C2 | semidirect |
| 7. C2×C4×C8×C37 | C2 | semidirect |
| 10. #11924542 | C4 | semidirect |
| 16. #11924464 | C4 | semidirect |
| 17. #11924461 | C4 | semidirect |
| 18. #11924458 | C4 | semidirect |
| 103. C2×C4×C8 | D37 | semidirect |
| 106. C37 | #1764 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924542 | 2 |
| C2×#11924464 | 2 |
| #14557530 | 2 |
| #14557488 | 2 |
| #14557298 | 2 |
| #14557293 | 2 |
| C2×C4×C8×C37 | 2 |
| #1764 | 37 |