Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 197 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. #14557589 | C2 | semidirect |
| 3. #14557585 | C2 | semidirect |
| 4. #14557557 | C2 | semidirect |
| 6. M16×Dic37 | C2 | semidirect |
| 7. C37×#423 | C2 | semidirect |
| 17. C4⋊#64436 | C22 | semidirect |
| 19. #11924446 | C22 | semidirect |
| 20. C8×Dic37 | C22 | semidirect |
| 23. C4⋊C8×C37 | C22 | semidirect |
| 74. C4×D37 | M16 | semidirect |
| 101. #423 | D37 | semidirect |
| 104. C37 | #2920 | semidirect |
| 117. C4⋊C8 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C42×D37 | 2 |
| #14557589 | 2 |
| #14557585 | 2 |
| #14557557 | 2 |
| #14557496 | 2 |
| M16×Dic37 | 2 |
| C37×#423 | 2 |
| #2920 | 37 |