Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
224 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 75 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×#11924472 | C2 | semidirect |
| 5. #14557488 | C2 | semidirect |
| 6. #14557293 | C2 | semidirect |
| 7. C37×#336 | C2 | semidirect |
| 14. #11924461 | C4 | semidirect |
| 15. #11924461 | C4 | semidirect |
| 16. #11924458 | C4 | semidirect |
| 17. #11924458 | C4 | semidirect |
| 112. #336 | D37 | semidirect |
| 113. C37 | #1929 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924472 | 2 |
| C2×#11924464 | 2 |
| #14557530 | 2 |
| #14557499 | 2 |
| #14557488 | 2 |
| #14557293 | 2 |
| C37×#336 | 2 |
| #1929 | 37 |