Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14557899 | C2 | semidirect |
| 3. #14557881 | C2 | semidirect |
| 4. #14557537 | C2 | semidirect |
| 5. C4×#10596934 | C2 | semidirect |
| 6. C37×#533 | C2 | semidirect |
| 13. #11924456 | C22 | semidirect |
| 14. #11924447 | C22 | semidirect |
| 15. C4×#64436 | C22 | semidirect |
| 16. C4⋊Q8×C37 | C22 | semidirect |
| 17. #125×C37 | C22 | semidirect |
| 75. #533 | D37 | semidirect |
| 81. C37 | #3138 | semidirect |
| 85. C4⋊Q8 | C2×D37 | semidirect |
| 89. #125 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924533 | 2 |
| #14557899 | 2 |
| #14557881 | 2 |
| #14557537 | 2 |
| C4×#10596934 | 2 |
| C37×#533 | 2 |
| #3138 | 37 |