Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
456 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 152 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. #14558484 | C2 | semidirect |
| 3. #14558482 | C2 | semidirect |
| 5. #14558479 | C2 | semidirect |
| 6. #14558478 | C2 | semidirect |
| 18. #11924531 | C4 | semidirect |
| 19. #11924530 | C4 | semidirect |
| 20. #11924529 | C4 | semidirect |
| 24. #126×C37 | C4 | semidirect |
| 38. C4⋊C4×C37 | C2×C4 | semidirect |
| 40. C42×C37 | C2×C4 | semidirect |
| 44. C4⋊Dic37 | C2×C4 | semidirect |
| 45. #10596936 | C2×C4 | semidirect |
| 46. #10596936 | C2×C4 | semidirect |
| 47. C4×Dic37 | C2×C4 | semidirect |
| 97. C37 | #2383 | semidirect |
| 102. #126 | #3866 | semidirect |
| 129. C4⋊C4 | C2×#3866 | semidirect |
| 137. C42 | C2×#3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558484 | 2 |
| #14558483 | 2 |
| #14558482 | 2 |
| #14558480 | 2 |
| #14558479 | 2 |
| #14558478 | 2 |
| #126×D37 | 2 |
| #2383 | 37 |