Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
512 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×C4⋊Dic37 | C2 | semidirect |
| 3. #14557847 | C2 | direct (N × H) |
| 4. C2×#11924470 | C2 | semidirect |
| 5. C2×#11924458 | C2 | semidirect |
| 6. C2×C22⋊C8×C37 | C2 | semidirect |
| 16. C2×C4⋊Dic37 | C22 | semidirect |
| 18. #11924470 | C22 | semidirect |
| 19. #11924458 | C22 | semidirect |
| 22. C22⋊C8×C37 | C22 | semidirect |
| 91. C2×C37 | #480 | semidirect |
| 101. C2×C22⋊C8 | D37 | semidirect |
| 102. C37 | C2×#480 | semidirect |
| 118. C22⋊C8 | C2×D37 | semidirect |
| 187. C2 | #14557847 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924510 | 2 |
| C22×C4⋊Dic37 | 2 |
| #14557847 | 2 |
| C2×#11924470 | 2 |
| C2×#11924458 | 2 |
| C2×C22⋊C8×C37 | 2 |
| C2×#480 | 37 |